STATISTICS PROCTORED EXAM
STUDY GUIDE WITH COMPLETE
SOLUTIONS
In a friendly study what is the difference between an individual and a variable? - Correct
Answers -An individual is a member of the population of interest. A variable is an aspect
of an individual subject or object being measured.
Categorize the type of sampling (simple random, stratified, systematic, cluster, or
convenience): (a) To conduct a preelection opinion poll on a proposed amendment to
the state constitution, a random sample of 10 telephone prefixes (first three digits of the
phone number) was selected, all the households, and all households from the phone
prefixes selected were called. - Correct Answers -Cluster sample
Categorize the type of sampling (simple random, stratified, systematic, cluster, or
convenience): (b) To conduct a study on depression among the elderly, a sample of 30
patients in one nursing home was used. - Correct Answers -Convenience sample
A radio talk show host asked listeners to respond either yes or no to the question, "Is
the candidate who spends the most on a campaign the most likely to win?" Fifteen
people called in and nine said yes. Can you detect any bias in the selection of the
sample? - Correct Answers -Yes, voluntary response. Those with the strongest opinions
are most likely to call in.
What is the difference between a parameter and a statistic? - Correct Answers -A
parameter is a numerical measurement describing data from a population. A statistic is
a numerical measurement describing data from a sample.
Categorize the type of sampling (simple random, stratified, systematic, cluster, or
convenience): (c) To maintain quality control in a brewery, every 20th bottle of beer
coming off the production line was opened and tested. - Correct Answers -Systematic
sample
Categorize the type of sampling (simple random, stratified, systematic, cluster, or
convenience): (d) Subscribers to a new smart phone app that streams songs were
assigned numbers. Then a sample of 30 subscribers was selected by using a random-
number table. The subscribers in the sample were invited to rate the process for
selecting the songs in the playlist. - Correct Answers -Simple random sample
, Categorize the type of sampling (simple random, stratified, systematic, cluster, or
convenience): e) To judge the appeal of a proposed television sitcom, a random sample
of 10 people from each of three different age categories was selected and those chosen
were asked to rate a pilot show. - Correct Answers -Stratified sample
What is the average miles per gallon (mpg) for all new hybrid small cars? Using
Consumer Reports, a random sample of such vehicles gave an average of 35.7 mpg.
(a) Identify the variable. - Correct Answers -Miles per gallon
What is the average miles per gallon (mpg) for all new hybrid small cars? Using
Consumer Reports, a random sample of such vehicles gave an average of 35.7 mpg.
(b) Is the variable quantitative or qualitative? - Correct Answers -Quantitative
What is the average miles per gallon (mpg) for all new hybrid small cars? Using
Consumer Reports, a random sample of such vehicles gave an average of 35.7 mpg.
(c) What is the implied population? - Correct Answers -All new hybrid small cars
A radio talk show host asked listeners to respond either yes or no to the question, "Is
the candidate who spends the most on a campaign the most likely to win?" Fifteen
people called in and nine said yes. What is the implied population? - Correct Answers -
All listeners of the radio talk show
A radio talk show host asked listeners to respond either yes or no to the question, "Is
the candidate who spends the most on a campaign the most likely to win?" Fifteen
people called in and nine said yes. What is the variable? - Correct Answers -Opinion of
a caller
For the following distribution, how many people had scores greater than X = 14?
X: 20-25 f: 2
X: 15-19 f: 5
X: 10-14 f: 4
X: 5-9 f: 1 - Correct Answers -7
The output shown in the given JMP applet summarizes the distribution of number of
calories per serving for 65 different candy
bars. Use the JMP output to answer the following questions. *See JMP Applet* - Correct
Answers -a) The correct answer is 0.08. Adding the number of candy bars for the
intervals in the histogram that correspond to greater than 400 calories results in 4 + 1 =
5. The proportion relative to the total number of candy bars is then 5/65 = 0.08.
(b) The correct answer is 0.88. Adding the number of candy bars for the intervals in the
histogram that correspond to less than 300 calories results in 1 + 8 + 29 + 19 = 57. The
proportion relative to the total number of candy bars is then 57/65 = 0.88.
(c) The correct answer is 51%. A reasonable way to estimate this percentage is to take
half of the number of candy bars for the interval from 150 to 200 (to estimate those that
are between 175 and 200), then add this to the number for the interval 200 to 250, and
STUDY GUIDE WITH COMPLETE
SOLUTIONS
In a friendly study what is the difference between an individual and a variable? - Correct
Answers -An individual is a member of the population of interest. A variable is an aspect
of an individual subject or object being measured.
Categorize the type of sampling (simple random, stratified, systematic, cluster, or
convenience): (a) To conduct a preelection opinion poll on a proposed amendment to
the state constitution, a random sample of 10 telephone prefixes (first three digits of the
phone number) was selected, all the households, and all households from the phone
prefixes selected were called. - Correct Answers -Cluster sample
Categorize the type of sampling (simple random, stratified, systematic, cluster, or
convenience): (b) To conduct a study on depression among the elderly, a sample of 30
patients in one nursing home was used. - Correct Answers -Convenience sample
A radio talk show host asked listeners to respond either yes or no to the question, "Is
the candidate who spends the most on a campaign the most likely to win?" Fifteen
people called in and nine said yes. Can you detect any bias in the selection of the
sample? - Correct Answers -Yes, voluntary response. Those with the strongest opinions
are most likely to call in.
What is the difference between a parameter and a statistic? - Correct Answers -A
parameter is a numerical measurement describing data from a population. A statistic is
a numerical measurement describing data from a sample.
Categorize the type of sampling (simple random, stratified, systematic, cluster, or
convenience): (c) To maintain quality control in a brewery, every 20th bottle of beer
coming off the production line was opened and tested. - Correct Answers -Systematic
sample
Categorize the type of sampling (simple random, stratified, systematic, cluster, or
convenience): (d) Subscribers to a new smart phone app that streams songs were
assigned numbers. Then a sample of 30 subscribers was selected by using a random-
number table. The subscribers in the sample were invited to rate the process for
selecting the songs in the playlist. - Correct Answers -Simple random sample
, Categorize the type of sampling (simple random, stratified, systematic, cluster, or
convenience): e) To judge the appeal of a proposed television sitcom, a random sample
of 10 people from each of three different age categories was selected and those chosen
were asked to rate a pilot show. - Correct Answers -Stratified sample
What is the average miles per gallon (mpg) for all new hybrid small cars? Using
Consumer Reports, a random sample of such vehicles gave an average of 35.7 mpg.
(a) Identify the variable. - Correct Answers -Miles per gallon
What is the average miles per gallon (mpg) for all new hybrid small cars? Using
Consumer Reports, a random sample of such vehicles gave an average of 35.7 mpg.
(b) Is the variable quantitative or qualitative? - Correct Answers -Quantitative
What is the average miles per gallon (mpg) for all new hybrid small cars? Using
Consumer Reports, a random sample of such vehicles gave an average of 35.7 mpg.
(c) What is the implied population? - Correct Answers -All new hybrid small cars
A radio talk show host asked listeners to respond either yes or no to the question, "Is
the candidate who spends the most on a campaign the most likely to win?" Fifteen
people called in and nine said yes. What is the implied population? - Correct Answers -
All listeners of the radio talk show
A radio talk show host asked listeners to respond either yes or no to the question, "Is
the candidate who spends the most on a campaign the most likely to win?" Fifteen
people called in and nine said yes. What is the variable? - Correct Answers -Opinion of
a caller
For the following distribution, how many people had scores greater than X = 14?
X: 20-25 f: 2
X: 15-19 f: 5
X: 10-14 f: 4
X: 5-9 f: 1 - Correct Answers -7
The output shown in the given JMP applet summarizes the distribution of number of
calories per serving for 65 different candy
bars. Use the JMP output to answer the following questions. *See JMP Applet* - Correct
Answers -a) The correct answer is 0.08. Adding the number of candy bars for the
intervals in the histogram that correspond to greater than 400 calories results in 4 + 1 =
5. The proportion relative to the total number of candy bars is then 5/65 = 0.08.
(b) The correct answer is 0.88. Adding the number of candy bars for the intervals in the
histogram that correspond to less than 300 calories results in 1 + 8 + 29 + 19 = 57. The
proportion relative to the total number of candy bars is then 57/65 = 0.88.
(c) The correct answer is 51%. A reasonable way to estimate this percentage is to take
half of the number of candy bars for the interval from 150 to 200 (to estimate those that
are between 175 and 200), then add this to the number for the interval 200 to 250, and
