Question 1

Listed at the right are the names of the 20 pharmacists on the hospital staff.Use the random numbers listed below to select three of them to be in the sample.Clearly explain your method.
 $ \begin{array}{llll}04905 & 83852 & 29350 & 91397\end{array} $
   $ 19994 \quad 6514205087 \quad 11232 $

$\begin{array}{|c|c|}
\hline \text { Pastore } & \text { Back } \
\hline \text { Spiridinov } & \text { Ahl } \
\hline \text { Hedge } & \text { MacDowell } \
\hline \text { Schissel } & \text { Novelli } \
\hline \text { Lavine } & \text { Kaplan } \
\hline \text { Highland } & \text { Roundy } \
\hline \text { Grubb } & \text { Markowitz } \
\hline \text { Glass } & \text { Davies } \
\hline \text { Golkowski } & \text { Reeves } \
\hline \text { Janis } & \text { Yen } \
\hline
\end{array}$

Accepted Answer

$04905 \quad 83852 \quad 29350\quad 91397$ 
$\begin{array} { l l l l } 19994 & 65142 & 05087 & 11232 \end{array}$

$\begin{array}{|l|l|}
\hline \text { 01 Pastore } & 11 \text { Back } \
\hline \text { 02 Spiridinov } & 12 \text { Ahl } \
\hline \text { 03 Hedge } & 13 \text { MacDowell } \
\hline \text { 04 Schissel } & 14 \text { Novelli } \
\hline \text { 05 Lavine } & 15 \text { Kaplan } \
\hline 06 \text { Highland } & 16 \text { Roundy } \
\hline 07 \text { Grubb } & 17 \text { Markowitz } \
\hline \text { 08 Glass } & 18 \text { Davies } \
\hline \text { 09 Golkowski } & 19 \text { Reeves } \
\hline \text { 10 Janis } & 20 \text { Yen } \
\hline
\end{array}$

Number the people $ 01-20 $ (by columns). Go across the random digits two at a time, ignoring 20-99 and any repeats, until three are chosen: 04 - Schissel, (ignore $ 90,58,38 $, etc), 09 - Golkowski, 13 - MacDowell

Question 2

A basketball player has a 70% free throw percentage.Which plan could be used to simulate The number of free throws she will make in her next five free throw attempts?
I.Let 0,1 represent making the first shot, 2, 3 represent making the second shot,…, 8, 9
Represent making the fifth shot.Generate five random numbers 0-9, ignoring repeats.
II.Let 0, 1, 2 represent missing a shot and 3, 4,…, 9 represent making a shot.Generate five
Random numbers 0-9 and count how many numbers are in 3-9.
III.Let 0, 1, 2 represent missing a shot and 3, 4,…, 9 represent making a shot.Generate five
Random numbers 0-9 and count how many numbers are in 3-9, ignoring repeats.

Accepted Answer

Plan II accurately simulates the scenario by assigning a 70% chance (7 out of 10) of making a shot and a 30% chance (3 out of 10) of missing a shot, which matches the player's free throw percentage. Plan I does not simulate the percentage accurately, and Plan III's instruction to ignore repeats does not accurately reflect the independent nature of each free throw attempt.

Question 3

A school district administrator sent a survey to all teachers in the district.Only 30% of the Teachers responded to the survey.Which of the following is true?
I.The people that did not responded are likely to be similar to those that did so he should use them as the sample.
II.This survey design suffered from non-response bias.
III.Because he sent the survey to everyone, this is a census and the results can be applied to
The whole population.

Accepted Answer

II. This survey design suffered from non-response bias because only 30% of the teachers responded, which means the results may not accurately represent the views of all teachers. Non-response bias occurs when the respondents to a survey differ significantly from the non-respondents, potentially skewing the results.

Question 4

The administration of a large university is interested in learning about the types of wellness Programs that would interest its employees.Suppose that the university randomly selects a School (e.g., the Business School) and surveys all of the individuals (administration, faculty, Professional staff, clerical and maintenance) who work in that school.This sampling plan is Called

Accepted Answer

This is an example of cluster sampling because the university is selecting entire groups (or "clusters")—in this case, a school within the university—and surveying everyone within the selected group. Cluster sampling involves selecting entire segments to represent the population, rather than individuals from within each segment.

Question 5

A consumer research group is interested in how older drivers view hybrid cars.Specifically, They wish to assess the percentage of drivers in the U.S.50 years of age or older who intend To purchase a hybrid in the next two years.They selected a systematic sample from a list of
AARP (American Association of Retired Persons) members.Based on this sample, they Estimated the percentage to be 17%.The sampling frame for this study is

Accepted Answer

The sampling frame refers to the source from which the sample is drawn. In this case, it is the list of AARP members from which the systematic sample was selected.

Question 6

A statistics teacher wants to know how her students feel about an introductory statistics  course.She decides to administer a survey to a random sample of students taking the course.She has several sampling plans to choose from.Name the sampling strategy in each.
A.There are four ranks of students taking the class: freshmen, sophomores, juniors, and
seniors.Randomly select 15 students from each class rank.
B.Randomly select a class rank (freshmen, sophomores, juniors, and seniors) and survey
every student in that class rank.
C.Each student has a nine-digit student number.Randomly choose 60 numbers.
D.Using the class roster, select every fifth student from the list.

Accepted Answer

The answer of A statistics teacher wants to know how...

Question 7

The main ideas of sampling do not include

Accepted Answer

The precision of the resulting statistics is not determined by the fraction of the larger population but rather by the sample size and how well it represents the population.

Question 8

The online MBA director at a large business school surveys a sample of current students to Determine their level of satisfaction with the program.She finds that 67% are "very Satisfied" with the online program.This is a

Accepted Answer

A statistic is a numerical measure that describes an aspect of a sample. In this case, the 67% satisfaction rate is derived from a sample of current students, making it a statistic.

Question 9

Explain why the first plan suggested above, sampling an entire classification, might be biased.Be sure to name the kind(s) of bias you describe.

Accepted Answer

The answer of Explain why the first plan suggested above,...

Question 10

Name and describe the kind of bias that might be present if the administration decides that instead of subjecting people to random testing they'll just…
a.interview employees about possible drug abuse.
b.ask people to volunteer to be tested.

Accepted Answer

The answer of Name and describe the kind of bias...

Question 11

Management at a retail store is concerned about the possibility of drug abuse by people who
work there.They decide to check on the extent of the problem by having a random sample of
the employees undergo a drug test.Several plans for choosing the sample are proposed.
Name the sampling strategy in each.
 a. Randomly select an employee classification and test all the people who work in that classification - supervisors, fulltime clerks, part-time clerks, and maintenance staff. ________
b. Choose the fourth person that arrives to work for each shift. _________
c. There are four employee classifications: supervisors, fulltime clerks, part-time clerks, and maintenance staff.
Randomly select ten people from each category. ________________
d. Each employee has a three-digit identification number. Randomly choose 40 numbers. _____________

Accepted Answer

The answer of Management at a retail store is concerned...

Question 12

Which of these is not an advantage of using a stratified sample instead of a simple random Sample?

Accepted Answer

The answer of Which of these is not an advantage...

Question 13

Listed at the right are the names of twenty full-time clerks on the retail staff.Use the random numbers listed below to select four of them to be in your sample.Clearly explain your method.
 $ \begin{array}{llll}18192 & 95318 & 02975 & 01191\end{array} $
$ \begin{array}{llll}29958 \quad 09275 & 89141 & 61909\end{array} $

$\begin{array}{|c|c|c|c|}
\hline \text { Larry } & \text { Marissa } & \text { Tim } & \text { Diane } \
\hline \text { Carol } & \text { Joshua } & \text { Barbara } & \text { Allan } \
\hline \text { Rich } & \text { Sharyn } & \text { Brian } & \text { Kelly } \
\hline \text { Nicole } & \text { John } & \text { June } & \text { Frank } \
\hline \text { Steve } & \text { Andrea } & \text { Matthew } & \text { Erin } \
\hline
\end{array}$

Accepted Answer

The answer of Listed at the right are the names...

Question 14

Listed below are the names of 20 students who are juniors.Use the random numbers listed
below to select five of them to be in your sample.Clearly explain your method.
 $$\begin{array}{l}
\begin{array} { | l | l | l | l | l | } 
\hline \text { Adam } & \text { Chris } & \text { Dave } & \text { Deirdre } & \text { Dick } \
\hline \text { Ellen } & \text { Eric } & \text { Joan } & \text { John } & \text { Judi } \
\hline \text { Joy } & \text { Kenny } & \text { Laura } & \text { Mary } & \text { Paul } \
\hline \text { Peter } & \text { Rachel } & \text { Rob } & \text { Sara } & \text { Stacey } \
\hline
\end{array}\\
\begin{array} { l } 
04028\quad55259\quad81183\quad40754\quad60209\quad06765\quad27306 \
28370\quad82669\quad83236\quad77479\quad90618\quad43707\quad78695
\end{array}
\end{array}$$

Accepted Answer

The answer of Listed below are the names of 20...

Question 15

Explain why the second plan suggested above, sampling all students from one class rank,might be biased.Be sure to name the kind(s) of bias youdescribe.

Accepted Answer

The answer of Explain why the second plan suggested above,...

Question 16

Shortly after the Sandy Hook Elementary School shooting in December 2012, a local Television news program asked viewers to call in with their opinion about gun control.These Results were likely biased because

Accepted Answer

This is because a voluntary response sample, where individuals choose to participate, often attracts those with strong opinions, leading to biased results.

Question 17

Administrators at a hospital are concerned about the possibility of drug abuse by people who work there.They decide to check on the extent of the problem by having a random sample of the employees undergo a drug test. a.Define the population and the parameter of interest in context. b.Describe a method that you would use to collect your sample.Make sure to name the sampling strategy chose. c.There are four employee classifications: doctors, medical staff (nurses, technicians, etc.) office staff, and support staff (custodians, maintenance, etc.).Describe how knowing about these classifications would modify your plan in part (a) and why.

Accepted Answer

The answer of Administrators at a hospital are concerned about...

Question 18

A consumer research group is interested in how older drivers view hybrid cars.Specifically, They wish to assess the percentage of drivers in the U.S.50 years of age or older who intend to purchase a hybrid in the next two years.They selected a systematic sample from a list of
AARP (American Association of Retired Persons) members.Based on this sample, they Estimated the percentage to be 17%.Which of the following statements about this study is True?

Accepted Answer

The 17% figure is a statistic because it is derived from a sample (in this case, a systematic sample of AARP members) rather than the entire population of U.S. drivers 50 years or older. A parameter would refer to a measure that describes the entire population, which is not the case here.

Question 19

The administration of a large university is interested in learning about the types of wellness Programs that would interest its employees.Suppose that there are five categories of Employees (administration, faculty, professional staff, clerical and maintenance) and the University decides to randomly select ten individuals from each category.This sampling plan is called

Accepted Answer

The university is using stratified sampling because it divides the population into distinct groups (strata) based on categories of employees and then randomly selects individuals from each group.

Question 20

Among a dozen eggs, three are rotten.A cookie recipe calls for two eggs; they'll be selected randomly from that dozen.Which plan could be used to simulate the number of rotten eggs that might be chosen?
I.Let 0, 1, and 2 represent the rotten eggs, and 3, 4, …, 11 the good eggs.Generate two random numbers 0-11, ignoring repeats.
II.Randomly generate a 0, 1, or 2 to represent the number of rotten eggs you get.
III.Since 25% of the eggs are rotten, let 0 = rotten and 1, 2, 3 = good.Generate two random numbers 0-3 and see how may 0's you get.

Accepted Answer

Plan I correctly simulates the selection of two eggs from the dozen, accounting for the possibility of selecting rotten eggs by using random numbers to represent each egg.

Quiz 10: Sample Surveys

The main ideas of sampling do not include

The online MBA director at a large business school surveys a sample of current students to Determine their level of satisfaction with the program.She finds that 67% are "very Satisfied" with the online program.This is a

Explain why the first plan suggested above, sampling an entire classification, might be biased.Be sure to name the kind(s) of bias you describe.

Name and describe the kind of bias that might be present if the administration decides that instead of subjecting people to random testing they'll just… a.interview employees about possible drug abuse. b.ask people to volunteer to be tested.

Which of these is not an advantage of using a stratified sample instead of a simple random Sample?

Explain why the second plan suggested above, sampling all students from one class rank,might be biased.Be sure to name the kind(s) of bias youdescribe.

Shortly after the Sandy Hook Elementary School shooting in December 2012, a local Television news program asked viewers to call in with their opinion about gun control.These Results were likely biased because