Stats Class HW

3 problems with a combined total of 7 questions. Show work please. Its an AP High School Stats class

APStatistics Test Page 1 of 4

Planning a Study

User Name: ______________ Instructor: _________________ Date: _________
(print clearly)

_____________
© Copyright 2009 Apex Learning Inc. All rights reserved. This material is intended for the exclusive use of
registered users only. No portion of these materials may be reproduced or redistributed in any form without the
express written permission of Apex Learning Inc.

Directions:

• Neatly write your responses in the spaces provided. Use a blue or black pen. Don’t write

in the margins.
• Remember to complete the submission information on every page you turn in.

Free Response: 2 questions, 52 points, 30 minutes

1. Ace Pharmaceutical has developed a drug that it believes will help lower

cholesterol and blood pressure at a significantly greater rate than fish oil.
Researchers wish to test the new drug and compare the results to those of fish
oil and of a placebo. A total of 300 volunteers suffering from hypertension and
high cholesterol will participate in the study.

A. Explain how you would carry out this test in a completely randomized

experiment. (12

points)

B. Explain carefully how you will ensure that the experiment is random. (6

points)

AP Statistics Test Page 2 of 4
Planning a Study

User Name: ______________ Instructor: _________________ Date: _________
(print clearly)

_____________
© Copyright 2009 Apex Learning Inc. All rights reserved. This material is intended for the exclusive use of
registered users only. No portion of these materials may be reproduced or redistributed in any form without the
express written permission of Apex Learning Inc.

C. Explain how you could use blocking to modify the design from part A. Be

sure to state why you chose the blocking method you did. (6 points)

2. Approximately 34 percent of U.S. households own at least one cat.

A. Using the random digit table provided below, explain how you would
conduct a simulation to estimate the percentage of cat owners among U.S.
households. Assume that you will look at 10 households at a time. (8 points)

95911 55241 74053 41002 18096 23370
19411 15586 98282 81306 73024 33198
03846 22199 73312 59593 05126 99863

AP Statistics Test Page 3 of 4
Planning a Study

User Name: ______________ Instructor: _________________ Date: _________
(print clearly)

_____________
© Copyright 2009 Apex Learning Inc. All rights reserved. This material is intended for the exclusive use of
registered users only. No portion of these materials may be reproduced or redistributed in any form without the
express written permission of Apex Learning Inc.

B. Perform your simulation for 10 U.S. households. Run your simulation three

times (in other words, run three trials). Make your procedure clear by
marking directly on or above the table. State your conclusion. (8 points)

3. Kim and Tracy are collecting data for their final project in their psychology

class, in which they are conducting a survey about people’s overall job
satisfaction. They decide to go to the local mall to collect their data. To get a
more varied sample, Kim surveys shoppers coming out of store A, a discount
clothing store, while Tracy surveys shoppers coming out of store B, a high-end
boutique.

A. Identify a possible problem with this type of sampling method. (6 points)

AP Statistics Test Page 4 of 4
Planning a Study

User Name: ______________ Instructor: _________________ Date: _________
(print clearly)

_____________
© Copyright 2009 Apex Learning Inc. All rights reserved. This material is intended for the exclusive use of
registered users only. No portion of these materials may be reproduced or redistributed in any form without the
express written permission of Apex Learning Inc.

B. How might Kim and Tracy improve on their sample design so as to get

more accurate information? (6 points)