stata lab questions
Q1
Determine whether the underlined number is a statistic or a parameter.
Upper A sample of students is selected and it is found that Modifying 55 % with underline own a computer.A sample of students is selected and it is found that 55% own a computer.
Choose the correct statement below.
ParameterParameter
because the value is a numerical measurement describing a characteristic of a
samplesample.
StatisticStatistic
because the value is a numerical measurement describing a characteristic of a
populationpopulation.
StatisticStatistic
because the value is a numerical measurement describing a characteristic of a
samplesample.
ParameterParameter
because the value is a numerical measurement describing a characteristic of a
population population.
Q2
Determine whether the data described below are qualitative or quantitative and explain why.
The political party affiliations of poll respondents The political party affiliations of poll respondents
Choose the correct answer below.
A.
The data are
qualitative qualitative
because
they consist ofthey consist of
counts or measurements.counts or measurements.
B.
The data are
quantitative quantitative
because
they consist of they consist of
counts or measurements.counts or measurements.
C.
The data are
qualitativequalitative
because
they don't measure orthey don't measure or
count anything.count anything.
D.
The data are
quantitativequantitative
because
they don't measure orthey don't measure or
count anything.
Q3
State whether the data described below are discrete or continuous, and explain why.
The maximum capacities of various stadiumsThe maximum capacities of various stadiums
Choose the correct answer below.
A.
The data are
continuouscontinuous
because
the data can take on anythe data can take on any
value in an intervalvalue in an interval.
B.
The data are
discretediscrete
because
the data can only take onthe data can only take on
specific valuesspecific values.
C.
The data are
continuouscontinuous
because
the data can only take onthe data can only take on
specific valuesspecific values.
D.
The data are
discretediscrete
because
the data can take on anythe data can take on any
value in an intervalvalue in an interval.
Q4
A particular country has
6060
total states. If the areas
ofof
5050
states are added and the sum is divided by
5050,
the result is
201 comma 755201,755
square kilometers. Determine whether this result is a statistic or a parameter.
Choose the correct answer below.
A.
The result is a
statisticstatistic
because it describes some characteristic of a
populationpopulation.
B.
The result is a
parameterparameter
because it describes some characteristic of a
samplesample.
C.
The result is a
parameterparameter
because it describes some characteristic of a
populationpopulation.
D.
The result is a
statisticstatistic
because it describes some characteristic of a
samplesample.
Q5
State whether the data described below are discrete or continuous, and explain why.
The amounts of time that different surgical procedures take at a hospitalThe amounts of time that different surgical procedures take at a hospital
nothing
Choose the correct answer below.
A.
The data are
discretediscrete
because
the data can take on anythe data can take on any
value in an intervalvalue in an interval.
B.
The data are
continuouscontinuous
because
the data can take on anythe data can take on any
value in an intervalvalue in an interval.
C.
The data are
continuouscontinuous
because
the data can only take onthe data can only take on
specific valuesspecific values.
D.
The data are
discretediscrete
because
the data can only take onthe data can only take on
specific valuesspecific values
Q8
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data below.
Critic ratings of movies on a scale from 1 star to 6 starsCritic ratings of movies on a scale from 1 star to 6 stars
Choose the correct answer below.
A.
The
intervalinterval
level of measurement is most appropriate because the data
can becan be
ordered comma differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma andordered, differences (obtained by subtraction) can be found and are meaningful, and
there is no natural starting point.there is no natural starting point.
B.
The
ratioratio
level of measurement is most appropriate because the data
can be ordered commacan be ordered,
differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma and there is adifferences (obtained by subtraction) can be found and are meaningful, and there is a
natural starting point.natural starting point.
C.
The
nominalnominal
level of measurement is most appropriate because the data
cannot becannot be
ordered.ordered.
nothing
D.
The
ordinalordinal
level of measurement is most appropriate because the data
can becan be
ordered commaordered,
butbut
differencesdifferences
cannotcannot
be foundbe found
or areor are
meaningless.meaningless.
nothing
nothing
nothing
nothing
Q9
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.
Monthly rainfall: 2.4 in comma 2.6 in comma 2.8 in comma 3 in comma and 3.2 inMonthly rainfall: 2.4 in, 2.6 in, 2.8 in, 3 in, and 3.2 in
Choose the correct answer below.
Q10
Which of the following would be classified as categorical data?
Choose the correct answer below.
Amount of rainfall
Number of suitcases on a plane
Tree height
Hair color
Q11
Determine whether the given description corresponds to an observational study or an experiment.
In a study of
364364
menmen
with a particular disease, the subjects
were photographed daily.were photographed daily.
nothing
Does the given description correspond to an observational study or an experiment?
A.
The given description corresponds to
an experimentan experiment.
B.
The given description corresponds to
an observational studyan observational study.
C.
The given description does not provide enough information to answer this question.
Q17
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below.
A
researcher selects every 822 th social security number andresearcher selects every 822th social security number and
surveyssurveys
thethe
correspondingcorresponding
person.person.
nothing
nothing
nothing
Which type of sampling did the
researcherresearcher
use?
SystematicSystematic
sampling
ConvenienceConvenience
sampling
ClusterCluster
sampling
RandomRandom
sampling
StratifiedStratified
sampling
Q18
Identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster.
To determine her
heart rateheart rate,
SamanthaSamantha
divides up her day into three parts: morning, afternoon, and evening. She then measures her
heart rateheart rate
at
33
randomly selected times during each part of the day.
What type of sampling is used?
Systematic
Stratified
Convenience
Cluster
Random
Identify the type of observational study (cross-sectional, retrospective, or prospective) described below.
A research company uses a device to record the viewing habits of about
25002500
households, and the data collected
over the next 3 yearsover the next 3 years
will be used to
determinenbsp whether nbsp whether the
proportion of households tuned to a particular
children'schildren's
programnbsp decreases. decreases.
Which type of observational study is described in the problem statement?
A
retrospectiveretrospective
study
A
prospectiveprospective
study
A
cross dash sectionalcross-sectional
study
Q21
Identify the type of observational study (cross-sectional, retrospective, or prospective) described below. A research company uses a device to record the viewing habits of about 2500 households, and the data collected over the next 10 years will be used to determinenbsp whether nbspthe proportion of households tuned to a particular educational programnbsp decreases.
Prospective study
Step-by-step explanation:
A cross-sectional study, also known as transverse study, is a type of observational study that analyzes data from a population at a specific point in time. This kind of observation is used if cases cannot be identified a priori or if the prevalence of the disease or condition needs to be determined.
Cohort studies are when two or more groups of subjects are followed over time to see if they develop some disease or if some event occurs, there are two type of cohort studies, prospective and retrospective. Prospective studies (or follow-up studies) follow subjects with different exposures until some point in time where something happens or the study ends, retrospective studies use historical data to make comparisons based on risk factors or exposures that occurred before the events.
Considering the information given and the observational study exposed to the question, we can conclude that we are talking about a prospective study because data is collected over the next 10 years.
Read more on Brainly.com - https://brainly.com/question/13402539#readmore
Identify the type of observational study (cross-sectional, retrospective, or prospective) described below.
A research company uses a device to record the viewing habits of about
25002500
households, and the data collected
over the next 3 yearsover the next 3 years
will be used to
determinenbsp whether nbsp whether the
proportion of households tuned to a particular
children'schildren's
programnbsp decreases. decreases.
Which type of observational study is described in the problem statement?
A
retrospectiveretrospective
study
A
prospectiveprospective
study
A
cross dash sectionalcross-sectional
study
Q22
Refer to the definition of simple random sample available below and its accompanying definition of random sample enclosed within parentheses. Determine whether each of the following is a simple random sample and a random sample.
- A statistics class with 36 students is arranged so that there are 6 rows with 6 students in each row, and the rows are numbered from 1 through 6. A die is rolled and a sample consists of all students in the row corresponding to the outcome of the die.
- For the same class described in part (a), the 36 student names are written on 36 individual index cards. The cards are shuffled and six names are drawn from the top.
- For the same class described in part (a), the six youngest students are selected.
LOADING...
Click the icon to view the definitions of simple random sample and random sample.
Q23
A frequency table of grades has five classes (A, B, C, D, F) with frequencies of
44,
1414,
1414,
88,
and
33
respectively. Using percentages, what are the relative frequencies of the five classes?
Complete the table.
Grade |
Frequency |
Relative frequency |
A |
44 |
nothing% |
B |
1414 |
nothing% |
C |
1414 |
nothing% |
D |
88 |
nothing% |
F |
33 |
nothing% |
(Round to two decimal places as needed.)
Q24
Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. |
Age (yr) when award was won |
Frequency | |
1010-1111 |
3030 | ||
1212-1313 |
3232 | ||
1414-1515 |
1515 | ||
1616-1717 |
33 | ||
1818-1919 |
55 | ||
2020-2121 |
22 | ||
2222-2323 |
22 |
Identify the lower class limits.
nothing,nothing,nothing,nothing,nothing,nothing,nothing
(Type integers or decimals. Do not round. Use ascending order.)
Identify the upper class limits.
nothing,nothing,nothing,nothing,nothing,nothing,nothing
(Type integers or decimals. Do not round. Use ascending order.)
Identify the class width.
nothing
(Type an integer or a decimal. Do not round.)
Identify the class midpoints.
nothing,nothing,nothing,nothing,nothing,nothing,nothing
(Type integers or decimals. Do not round. Use ascending order.)
Identify the class boundaries.
nothing,nothing,nothing,nothing,nothing,nothing,nothing,nothing
(Type integers or decimals. Do not round. Use ascending order.)
Identify the number of individuals included in the summary.
nothing
(Type an integer or a decimal. Do not round.)
Enter your answer in each of the answer boxes.
Q25
Construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in nonfiltered and filtered cigarettes. Do the cigarette filters appear to be effective? (Hint: The filters reduce the amount of tar ingested by the smoker.)
LOADING...
Click the icon to view the frequency distributions.
Complete the relative frequency table below.
Tar (mg) |
Relative Frequency (Nonfiltered) |
Relative Frequency (Filtered) |
22minus−77 |
nothing% |
nothing% |
88minus−1313 |
nothing% |
nothing% |
1414minus−1919 |
nothing% |
nothing% |
2020minus−2525 |
nothing% |
nothing% |
2626minus−3131 |
nothing% |
nothing% |
3232minus−3737 |
nothing% |
nothing% |
3838minus−4343 |
nothing% |
nothing% |
(Simplify your answers.)
Do cigarette filters appear to be effective?
A.
No, because the relative frequency of the higher tar classes is greater for filtered cigarettes.
B.
No, because the relative frequencies for each are not substantially different.
C.
Yes, because the relative frequency of the higher tar classes is greater for nonfiltered cigarettes.
D.
This cannot be determined.
Q29
The table below shows the frequency distribution of the weights (in grams) of pre-1964 quarters.
Weight (g) |
Frequency | |
6.000 dash 6.0496.000-6.049 |
22 | |
6.050 dash 6.0996.050-6.099 |
33 | |
6.100 dash 6.1496.100-6.149 |
66 | |
6.150 dash 6.1996.150-6.199 |
1111 | |
6.200 dash 6.2496.200-6.249 |
1212 | |
6.250 dash 6.2996.250-6.299 |
44 | |
6.300 dash 6.3496.300-6.349 |
44 | |
6.350 dash 6.3996.350-6.399 |
11 |
Use the frequency distribution to construct a histogram. Does the histogram appear to depict data that have a normal distribution? Why or why not?
Q30
The table available below shows the drive through service times (seconds) for lunches at a fast food restaurant. Use the data to construct a histogram. Begin with a lower class limit of 70 seconds and use a class width of 40 seconds. Does the histogram appear to be skewed? If so, identify the type of skewness.
Construct the histogram. Choose the correct graph below.
A.
69.5109.5149.5189.5229.5269.50510152025Service Time (seconds)Frequency
A histogram with horizontal axis labeled Service Time measured in seconds from 695 to 296.5 in intervals of 40 and vertical axis labeled Frequency from 0 to 25 in intervals of 5 contains vertical bars with heights as follows: 69.5 to 109.5, 12; 109.5 to 149.5, 22; 149.5 to 189.5, 8; 189.5 to 229.5, 5; 229.5 to 269.5, 3.
B.
69.5109.5149.5189.5229.5269.50510152025Service Time (seconds)Frequency
A histogram with horizontal axis labeled Service Time measured in seconds from 695 to 296.5 in intervals of 40 and vertical axis labeled Frequency from 0 to 25 in intervals of 5 contains vertical bars with heights as follows: 69.5 to 109.5, 3; 109.5 to 149.5, 5; 149.5 to 189.5, 8; 189.5 to 229.5, 22; 229.5 to 269.5, 12.
C.
69.5109.5149.5189.5229.5269.50510152025Service Time (seconds)Frequency
A histogram with horizontal axis labeled Service Time measured in seconds from 695 to 296.5 in intervals of 40 and vertical axis labeled Frequency from 0 to 25 in intervals of 5 contains vertical bars with heights as follows: 69.5 to 109.5, 12; 109.5 to 149.5, 22; 149.5 to 189.5, 12; 189.5 to 229.5, 21; 229.5 to 269.5, 22.
D.
69.5109.5149.5189.5229.5269.50510152025Service Time (seconds)Frequency
Construct a stem-and-leaf plot of the test scores
68 comma 73 comma 85 comma 75 comma 89 comma 89 comma 87 comma 90 comma 98 comma 100.68, 73, 85, 75, 89, 89, 87, 90, 98, 100.
How does the stem-and-leaf plot show the distribution of these data?
Construct the stem-and-leaf plot. Choose the correct answer below.
A.
Stem |
Leaves |
6 |
88 |
7 |
3 63 6 |
8 |
5 6 9 75 6 9 7 |
9 |
0 90 9 |
10 |
0 |
B.
Stem |
Leaves |
6 |
88 |
7 |
3 53 5 |
8 |
5 7 9 95 7 9 9 |
9 |
0 80 8 |
10 |
0 |
C.
Stem |
Leaves |
6 |
55 |
7 |
3 53 5 |
8 |
5 9 9 75 9 9 7 |
9 |
0 70 7 |
10 |
0 |
D.
Stem |
Leaves |
6 |
88 |
7 |
3 53 5 |
8 |
5 9 9 65 9 9 6 |
9 |
0 80 8 |
10 |
0 |
How does the stem-and-leaf plot show the distribution of these data?
A.
The lengths of the rows are similar to the heights of bars in a histogram; longer rows of data correspond to smaller frequencies.
B.
The lengths of the rows are similar to the widths of bars in a histogram; longer rows of data correspond to smaller frequencies.
C.
The lengths of the rows are similar to the heights of bars in a histogram; longer rows of data correspond to higher frequencies.
D.
The lengths of the rows are similar to the widths of bars in a histogram; longer rows of data correspond to higher frequencies.
Q34
In a study of retractions in biomedical journals,
487487
were due to error,
217217
were due to plagiarism,
803803
were due to fraud,
310310
were due to duplications of publications, and
243243
had other causes. Construct a Pareto chart. Among such retractions, does misconduct (fraud, duplication, plagiarism) appear to be a major factor?
Choose the correct Pareto chart below.
A.
A bar graph titled Retractions has a vertical axis labeled from 0 to 900 in increments of 300. There are vertical bars with labels and heights as follows, listed from left to right: Error, 490; Plagiarism, 220; Fraud, 800; Duplication, 310; Other, 240. All heights are approximate.
Retractions
0300600900ErrorPlagiarismFraudDuplicationOther
B.
A bar graph titled Retractions has a vertical axis labeled from 0 to 900 in increments of 300. There are vertical bars with labels and heights as follows, listed from left to right: Error, 240; Plagiarism, 110; Fraud, 800; Duplication, 160; Other, 120. All heights are approximate.
Retractions
0300600900ErrorPlagiarismFraudDuplicationOther
C.
A bar graph titled Retractions has a vertical axis labeled from 0 to 900 in increments of 300. There are vertical bars with labels and heights as follows, listed from left to right: Fraud, 800; Error, 490; Duplication, 310; Other, 240; Plagiarism, 220. All heights are approximate.
Retractions
0300600900FraudErrorDuplicationOtherPlagiarism
D.
A bar graph titled Retractions has a vertical axis labeled from 0 to 900 in increments of 300. There are vertical bars with labels and heights as follows, listed from left to right: Fraud, 800; Error, 240; Duplication, 160; Other, 120; Plagiarism, 110. All heights are approximate.
Retractions
0300600900FraudErrorDuplicationOtherPlagiarism
Among such retractions, does misconduct (fraud, duplication, plagiarism) appear to be a major factor?
A.
Yes, misconduct appears to be a major factor because the majority of retractions were due to misconduct.
B.
No, misconduct does not appear to be a major factor because the majority of retractions were not due to misconduct.
C.
No, misconduct does not appear to be a major factor because the majority of retractions were due to misconduct.
D.
Yes, misconduct appears to be a major factor because the majority of retractions were not due to misconduct.
Q35
The graph to the right uses cylinders to represent barrels of oil consumed by two countries. Does the graph distort the data or does it depict the data fairly? Why or why not? If the graph distorts the data, construct a graph that depicts the data fairly. |
A pictograph titled "Daily Oil Consumption (Millions of barrels)" contains two cylinders, each labeled with a country name and a number as follows: "Country A" and "20.1"; "Country B" and "5.9." The cylinder labeled "Country A" has a diameter and a height that are each about four times longer than the diameter and height of the cylinder labeled "Country B."Daily Oil Consumption(Millions of barrels)Country ACountry B20.15.9 |
Does the graph distort the data? Why or why not?
A.
No, because the graph is technically correct.
B.
Yes, because 3D objects always distort the data in graphs.
C.
Yes, because the graph incorrectly uses objects of volume to represent the data.
D.
No, because the proportions are accurate.
If the graph does not depict the data fairly, which graph below does?
A.
A bar graph titled "Oil Consumption" has a vertical axis labeled "Barrels (millions)" from 0 to 24 in intervals of 2 and a horizontal axis labeled "Country" with letter labels "A" and "B" from left to right. The graph contains two vertical bars of equal width that do not touch each other. The bars over the horizontal axis labels extend over vertical ranges as follows: A, 0 to 6; B, 0 to 20. All values are approximate.
Oil Consumption
AB04812162024Barrels (millions)
Country
B.
A bar graph titled "Oil Consumption" has a vertical axis labeled "Barrels (millions)" from 4 to 24 in intervals of 2 and a horizontal axis labeled "Country" with letter labels "A" and "B" from left to right. The graph contains two vertical bars of equal width that do not touch each other. The bars over the horizontal axis labels extend over vertical ranges as follows: A, 4 to 20; B, 4 to 6. All values are approximate.
Oil Consumption
AB4812162024Barrels (millions)
Country
C.
A bar graph titled "Oil Consumption" has a vertical axis labeled "Barrels (millions)" from 0 to 24 in intervals of 2 and a horizontal axis labeled "Country" with letter labels "A" and "B" from left to right. The graph contains two vertical bars of equal width that do not touch each other. The bars over the horizontal axis labels extend over vertical ranges as follows: A, 0 to 20; B, 0 to 6. All values are approximate.
Oil Consumption
AB04812162024Barrels (millions)
Country
Q43
For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of
sixsix
types of automobile, the linear correlation coefficient is found and the P-value is
0.0320.032.
Write a statement that interprets the P-value and includes a conclusion about linear correlation.
The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is
nothing%,
which is
▼
low,
high,
so there
▼
is not
is
sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.
(Type an integer or a decimal. Do not round.)
For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of seven types of automobile, the linear correlation coefficient is found and the P-value is 0.035. Write a statement that interprets the P-value and includes a conclusion about linear correlation. The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is_____________ which is____________ so there_______________ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.
1
Answer:
The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is__3.5%___ which is___significant_(at α=0.05)_ so there _is_ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.
Step-by-step explanation:
Correlation coefficient shows the relation between the weights and highway fuel consumption amounts of seven types of automobile.
P-value states the significance of this relationship. If the p-value is lower than a significance level (for example 0.05) then the relation is said to be significant.
Q45
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question.
Listed below are the jersey numbers of
1111
players randomly selected from the roster of a championship sports team. What do the results tell us?
1010
1212
9494
8484
99
3535
7979
55
8383
7373
8686
- Find the mean.
The mean is
51.851.8.
(Type an integer or a decimal rounded to one decimal place as needed.)
- Find the median.
The median is
nothing.
(Type an integer or a decimal rounded to one decimal place as needed.)
- Find the mode.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The mode(s) is(are)
nothing.
(Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.)
B.
There is no mode.
- Find the midrange.
Q47
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of
47.547.5
miles per hour.
Speed (miles per hour) |
42minus−45 |
46minus−49 |
50minus−53 |
54minus−57 |
58minus−61 | |
Frequency |
2323 |
1515 |
66 |
33 |
22 |
The mean of the frequency distribution is
nothing
miles per hour.
(Round to the nearest tenth as needed.)
Which of the following best discribes the relationship between the computed mean and the actual mean?
A.
The computed mean
isis
close to the actual mean because the difference between the means is
moremore
than 5%.
B.
The computed mean
is notis not
close to the actual mean because the difference between the means is
lessless
than 5%.
C.
The computed mean
isis
close to the actual mean because the difference between the means is
lessless
than 5%.
D.
The computed mean
is notis not
close to the actual mean because the difference between the means is
moremore
than 5%.
Q49
One common system for computing a grade point average (GPA) assigns 4 points to an A, 3 points to a B, 2 points to a C, 1 point to a D, and 0 points to an F. What is the GPA of a student who gets an A in a
22-credit
course, a B in each of
threethree
33-credit
courses, a C in a
33-credit
course, and a D in a
22-credit
course?
Q50
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us?
39 33 20 29 65 72 86 56 94 88 3539 33 20 29 65 72 86 56 94 88 35
Rangeequals=nothing
(Round to one decimal place as needed.)
Sample standard
deviationequals=nothing
(Round to one decimal place as needed.)
Sample
varianceequals=nothing
(Round to one decimal place as needed.)
What do the results tell us?
A.
The sample standard deviation is too large in comparison to the range.
B.
Jersey numbers on a football team do not vary as much as expected.
C.
Jersey numbers on a football team vary much more than expected.
D.
Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.
Q54
Listed below are amounts (in millions of dollars) collected from parking meters by a security service company and other companies during similar time periods. Do the limited data listed here show evidence of stealing by the security service company's employees?
Security Service Company:Security Service Company: |
1.41.4 |
1.71.7 |
1.51.5 |
1.61.6 |
1.51.5 |
1.61.6 |
1.61.6 |
1.71.7 |
1.41.4 |
1.51.5 | |
Other Companies:Other Companies: |
1.91.9 |
1.81.8 |
1.61.6 |
1.71.7 |
1.61.6 |
1.91.9 |
1.71.7 |
1.51.5 |
1.81.8 |
1.71.7 |
Find the coefficient of variation for each of the two samples, then compare the variation.
The coefficient of variation for the amount collected by the security service company is
nothing%.
(Round to one decimal place as needed.)
The coefficient of variation for the amount collected by the other companies is
nothing%.
(Round to one decimal place as needed.)
Do the limited data listed here show evidence of stealing by the security service company's employees? Consider a difference of greater than 1% to be significant.
A.
No. There is a significant difference in the variation.
B.
Yes. There is a significant difference in the variation.Yes. There is a significant difference in the variation.
C.
Yes. There is not a significant difference in the variation.
D.
No. There is a not significant difference in the variation.No. There is a not significant difference in the variation.
Q56
Use the body temperatures, in degrees Fahrenheit, listed in the accompanying table. The range of the data is
2.92.9degrees°F.
Use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the actual standard deviation of the data rounded to two decimal places,
0.660.66degrees°F,
assuming the goal is to approximate the standard deviation within
0.2degrees°F.
LOADING...
Click the icon to view the table of body temperatures.
The estimated standard deviation is
nothingdegrees°F.
(Round to two decimal places as needed.)
Compare the result to the actual standard deviation.
The estimated standard deviation is
▼
within 0.2 degrees ofwithin 0.2° of
more than 0.2 degrees greater thanmore than 0.2° greater than
more than 0.2 degrees less thanmore than 0.2° less than
the actual standard deviation. Thus, the estimated standard deviation
▼
meets
does not meet
the goal.
Q57
Find the standard deviation, s, of sample data summarized in the frequency distribution table given below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values,
9.09.0.
sequals=StartRoot StartFraction n left bracket Summation from nothing to nothing left parenthesis f times x squared right parenthesis right bracket minus left bracket Summation from nothing to nothing left parenthesis f times x right parenthesis right bracket squared Over n left parenthesis n minus 1 right parenthesis EndFraction EndRootn∑f•x2−∑(f•x)2n(n−1)
Interval |
3030-3636 |
3737-4343 |
4444-5050 |
5151-5757 |
5858-6464 |
6565-7171 | |
Frequency |
33 |
2121 |
3535 |
2222 |
88 |
33 |
Standard
deviationequals=7.77.7
(Round to one decimal place as needed.)
Consider a difference of 20% between two values of a standard deviation to be significant. How does this computed value compare with the given standard deviation,
9.09.0?
A.
The computed value is not significantly different from the given value.The computed value is not significantly different from the given value.
B.
The computed value is significantly greater than the given value.The computed value is significantly greater than the given value.
C.
The computed value is significantly less than the given value.
Q58
Using the accompanying table of data, blood platelet counts of women have a bell-shaped distribution with a mean of
255.1255.1
and a standard deviation of
65.465.4.
(All units are 1000
cells/muμL.)
Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within
33
standard
deviationsdeviations
of the mean? What are the minimum and maximum possible platelet counts that are within
33
standard
deviationsdeviations
of the mean?
LOADING...
Click the icon to view the table of platelet counts.
Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within
33
standard
deviationsdeviations
of the mean?
At least
nothing%
of women have platelet counts within
33
standard
deviationsdeviations
of the mean.
(Round to the nearest integer as needed.)
What are the minimum and maximum possible platelet counts that are within
33
standard
deviationsdeviations
of the mean?
The minimum possible platelet count within
33
standard
deviationsdeviations
of the mean is
nothing.
The maximum possible platelet count within
33
standard
deviationsdeviations
of the mean is
nothing.
(Type integers or decimals rounded to one decimal place as needed.)
Q59
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is
3838
beats per minute, the mean of the listed pulse rates is
x overbarxequals=77.077.0
beats per minute, and their standard deviation is
sequals=24.624.6
beats per minute.
- What is the difference between the pulse rate of
3838
beats per minute and the mean pulse rate of the females?
- How many standard deviations is that [the difference found in part (a)]?
- Convert the pulse rate of
3838
beats per minutes to a z score.
- If we consider pulse rates that convert to z scores between
minus−2
and 2 to be neither significantly low nor significantly high, is the pulse rate of
3838
beats per minute significant?
- The difference is
nothing
beats per minute.
(Type an integer or a decimal. Do not round.)
- The difference is
nothing
standard deviations.
(Round to two decimal places as needed.)
- The z score is
zequals=nothing.
(Round to two decimal places as needed.)
- The lowest pulse rate is
▼
not significant.
significantly high.
significantly low.
Q60
Consider a value to be significantly low if its z score less than or equal to
minus−2
or consider a value to be significantly high if its z score is greater than or equal to 2.
A test is used to assess readiness for college. In a recent year, the mean test score was
20.620.6
and the standard deviation was
5.55.5.
Identify the test scores that are significantly low or significantly high.
What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice.
A.
Test scores that are greater than
nothing.
(Round to one decimal place as needed.)
B.
Test scores that are less than
nothing.
(Round to one decimal place as needed.)
C.
Test scores that are between
nothing
and
nothing.
(Round to one decimal place as needed. Use ascending order.)
What test scores are significantly high? Select the correct answer below and fill in the answer box(es) to complete your choice.
A.
Test scores that are greater than
nothing.
(Round to one decimal place as needed.)
B.
Test scores that are less than
nothing.
(Round to one decimal place as needed.)
C.
Test scores that are between
nothing
and
nothing.
(Round to one decimal place as needed. Use ascending order.)
Q61
Use z scores to compare the given values.
The tallest living man at one time had a height of
243243
- The shortest living man at that time had a height of
69.669.6
- Heights of men at that time had a mean of
171.43171.43
cm and a standard deviation of
7.657.65
- Which of these two men had the height that was more extreme?
Since the z score for the tallest man is
zequals=nothing
and the z score for the shortest man is
zequals=nothing,
the
▼
shortest
tallest
man had the height that was more extreme.
(Round to two decimal places.)
Q62
Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percentile corresponding to the data speed
4.74.7
Mbps.
0.20.2 |
0.20.2 |
0.30.3 |
0.30.3 |
0.40.4 |
0.50.5 |
0.50.5 |
0.50.5 |
0.60.6 |
0.60.6 | |
0.70.7 |
0.80.8 |
0.90.9 |
0.90.9 |
0.90.9 |
1.21.2 |
1.41.4 |
1.41.4 |
1.61.6 |
1.91.9 | |
2.42.4 |
2.42.4 |
2.52.5 |
2.62.6 |
2.82.8 |
2.92.9 |
3.23.2 |
3.83.8 |
4.44.4 |
4.64.6 | |
4.74.7 |
5.55.5 |
6.96.9 |
7.77.7 |
7.87.8 |
8.98.9 |
9.89.8 |
10.510.5 |
Q63
Use the following cell phone airport data speeds (Mbps) from a particular network. Find
Upper P 90P90.
0.10.1 |
0.10.1 |
0.20.2 |
0.40.4 |
0.60.6 |
0.60.6 |
0.70.7 |
0.70.7 |
0.80.8 |
0.80.8 | |
0.80.8 |
0.90.9 |
0.90.9 |
0.90.9 |
0.90.9 |
1.11.1 |
1.21.2 |
1.31.3 |
1.31.3 |
1.61.6 | |
1.61.6 |
1.71.7 |
2.42.4 |
2.52.5 |
2.62.6 |
2.82.8 |
2.92.9 |
3.43.4 |
3.83.8 |
3.93.9 | |
4.24.2 |
5.45.4 |
5.65.6 |
5.85.8 |
6.16.1 |
6.56.5 |
8.78.7 |
9.19.1 |
9.19.1 |
10.110.1 | |
10.710.7 |
11.111.1 |
11.811.8 |
12.212.2 |
12.312.3 |
13.513.5 |
13.513.5 |
14.714.7 |
15.715.7 |
28.728.7 |
Upper P 90P90equals=nothing
Mbps
Q64
The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a boxplot and identify the 5-number summary.
2.02.0 |
2.02.0 |
2.52.5 |
3.53.5 |
3.53.5 |
3.53.5 |
4.54.5 |
4.54.5 |
4.54.5 |
4.54.5 |
4.54.5 |
5.55.5 |
5.55.5 |
5.55.5 |
5.55.5 |
5.55.5 |
6.56.5 |
7.07.0 |
7.07.0 |
8.08.0 |
The 5-number summary is
nothing,
nothing,
nothing,
nothing,
and
nothing.
(Use ascending order. Type integers or decimals. Do not round.)
Which boxplot below represents the data?
A.
0246810Ratings
A boxplot titled Ratings is plotted above a horizontal scale from 0 to 10 in increments of 1. The boxplot consists of a box that extends from 2.5 to 4.5, a vertical line segment drawn through the box at 3.5, and a horizontal line segment extending from 1 to 9 that bisects the box. All values are approximate.
B.
0246810Ratings
A boxplot titled Ratings is plotted above a horizontal scale from 0 to 10 in increments of 1. The boxplot consists of a box that extends from 3.5 to 5.5, a vertical line segment drawn through the box at 4.5, and a horizontal line segment extending from 2 to 8 that bisects the box. All values are approximate.
C.
0246810Ratings
A boxplot titled Ratings is plotted above a horizontal scale from 0 to 10 in increments of 1. The boxplot consists of a box that extends from 2.75 to 6.5, a vertical line segment drawn through the box at 4.5, and a horizontal line segment extending from 2 to 9 that bisects the box. All values are approximate.
D.
0246810Ratings