A weight loss program claims that program participants have a mean weight loss of at least 11 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation is 3. At a = 0.01, do you have enough evidence to reject the program's claim? Complete parts (a) through (e). 5.1 8.7 10.8 5.8 6.2 6.4 7.1 7.2 9 9.1 9.1 9.6 9.7 11.2 11.5 11.6 11.7 12.2 7.3 10.2 12.8 (a) Identify Ho and H₂. Choose the correct answer below. OA. Ho: > 11 Ha: ≤11 OC. Ho: 211 H₂:μ<11 8 10.4 12.9 8.1 8.5 D 10.6 10.6 13.1 15 OB. Ho: H=11 Ha: #11 O D. Ho: μ#11
A weight loss program claims that program participants have a mean weight loss of at least 11 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation is 3. At a = 0.01, do you have enough evidence to reject the program's claim? Complete parts (a) through (e). 5.1 8.7 10.8 5.8 6.2 6.4 7.1 7.2 9 9.1 9.1 9.6 9.7 11.2 11.5 11.6 11.7 12.2 7.3 10.2 12.8 (a) Identify Ho and H₂. Choose the correct answer below. OA. Ho: > 11 Ha: ≤11 OC. Ho: 211 H₂:μ<11 8 10.4 12.9 8.1 8.5 D 10.6 10.6 13.1 15 OB. Ho: H=11 Ha: #11 O D. Ho: μ#11
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Transcribed Image Text:A weight loss program claims that program participants have a mean weight loss of at least 11 pounds after 1 month. You work for a
medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after
1 month is listed in the table below. Assume the population standard deviation is 3. At α = 0.01, do you have enough evidence to reject the
program's claim? Complete parts (a) through (e).
5.1
8.7
10.8
5.8
6.2
6.4
7.1
9
9.1
9.1
9.6
11.2 11.5 11.6 11.7
(a) Identify Ho and H₂. Choose the correct answer below.
O A. Ho: μ> 11
Ha:μ≤11
O C. Ho: μ ≥ 11
H₂: μ<11
7.2
7.3
9.7 10.2
12.2 12.8
OE. Ho: ≤11
H₂:μ> 11
8
10.4
12.9
8.1 8.5
10.6 10.6
13.1 15
Identify the rejection region(s). Choose the correct answer below.
O B. Ho: μ = 11
H₂: μ#11
D. Ho: μ#11
H₂:µ=11
OF. Ho: μ< 11
Hg: με 11
(b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice.
(Round to two decimal places as needed.)
OA. The critical values are ±
OB. The critical value is
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