A researcher wants to compare three different exercise programs. For each program, five volunteers follow it for a month and their weight losses are recorded below. Use a 0.01 significance level to test the claim that the three different exercise programs produce the same mean weight loss Program A: 2.5 8.8 7.3 9.8 5.1 Program B: 5.8 4.9 1.1 7.8 1.2 Program C: 4.3 6.2 5.8 8.1 7.9 a. Define the parameter(s) A. mu 1 equals The mean weight loss by the 5 people on program A mu 2 equals The mean weight loss by the 5 people on program B mu 3 equals The mean weight loss by the 5 people on program C B. mu 1 equals The mean weight loss by all people on program A mu 2 equals The mean weight loss by all people on program B mu 3 equals The mean weight loss by all people on program C C. mu equals The mean weight loss for all people D. p 1 equals The mean weight loss by all people on program A p 2 equals The mean weight loss by all people on program B p 3 equals The mean weight loss by all people on program C b. State Upper H 0 . A. mu 1 not equals mu 2 not equals mu 3 B. mu 1 equals mu 2 equals mu 3 equals 9.8 C. mu 1 equals mu 2 equals mu 3 D. mu greater than 0 c. Calculate the P-value. Which of these options is closest to the P-value? A. 0.2662 B. 0.2640 C. 0.2592 D. 0.2625 d. State the technical conclusion. A. Reject Upper H 0 B. Do not reject Upper H 0 e. State the final conclusion. A. There is sufficient evidence to warrant rejection of the claim. B. There is not sufficient evidence to warrant rejection of the claim. C. There is not sufficient sample evidence to support the claim. D. The sample data support the claim. f. Does there appear to be a significant difference between the three programs? A. No B. Yes

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

PART D,E,F

A researcher wants to compare three different exercise programs. For each program, five volunteers follow it for a month and their weight losses are recorded below. Use a 0.01 significance level to test the claim that the three different exercise programs produce the same mean weight loss

Program A: 2.5 8.8 7.3

9.8

5.1

Program B: 5.8 4.9 1.1 7.8 1.2

Program C: 4.3 6.2 5.8 8.1 7.9

a. Define the parameter(s)

mu 1 equals

The

mean weight loss by the 5 people on program A

mu 2 equals

The

mean weight loss by the 5 people on program B

mu 3 equals

The

mean weight loss by the 5 people on program C

mu 1 equals

The

mean weight loss by all people on program A

mu 2 equals

The

mean weight loss by all people on program B

mu 3 equals

The

mean weight loss by all people on program C

mu equals

The

mean weight loss for all people

p 1 equals

The

mean weight loss by all people on program A

p 2 equals

The

mean weight loss by all people on program B

p 3 equals

The

mean weight loss by all people on program C

b. State

Upper H 0

mu 1 not equals mu 2 not equals mu 3

mu 1 equals mu 2 equals mu 3 equals

9.8

mu 1 equals mu 2 equals mu 3

mu greater than 0

c. Calculate the P-value. Which of these options is closest to the P-value?

0.2662

0.2640

0.2592

0.2625

d. State the technical conclusion.

Reject Upper H 0

Do not reject Upper H 0

e. State the final conclusion.

There is sufficient evidence to warrant rejection of the claim.

There is not sufficient evidence to warrant rejection of the claim.

There is not sufficient sample evidence to support the claim.

The sample data support the claim.

f. Does there appear to be a significant difference between the three programs?

Yes

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