Assume that both populations are normally distributed. a) Test whether u, # H, at the a = 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about u, -H2. Sample 2 17 Sample 1 17 13 14.3 3.5 3.1 E Click the icon to view the Student t-distribution table. VIIVI Mypu U M M M un pVM . A. Ho: H = H2, H,:H #H2 O B. Ho: H1 = H2, H,iHy H2 Determine the test statistic. t= - 1.15 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. The critical value is. O B. The lower critical value is - 2.040. The upper critical value is 2.040. Should the hypothesis be rejected? Do not reject the null hypothesis because the test statistic is not in the critical region. b) Construct a 95% confidence interval about u - H2. The confidence interval is the range from to. (Round to two decimal places as needed. Use ascending order.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Sample 2
Assume that both populations are normally distributed.
a) Test whether µ, # µ, at the a = 0.05 level of significance for the given sample data.
b) Construct a 95% confidence interval about u, - H2.
Sample 1
17
13
17
14.3
3.5
3.1
E Click the icon to view the Student t-distribution table.
A. Ho: H1 = H2, Hq: Hq # Hz
O B. Ho: H1 = H2, H,: Hy <Hz
OC. Ho: H1 #H2, Hq: Hy =H2
O D. Ho: H1 = H2, Hq: Hq>H2
Determine the test statistic.
t= - 1.15 (Round to two decimal places as needed.)
Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice.
(Round to three decimal places as needed.)
O A. The critical value is
O B. The lower critical value is -2.040. The upper critical value is 2.040.
Should the hypothesis be rejected?
Do not reject the null hypothesis because the test statistic is not in the critical region.
b) Construct a 95% confidence interval about u, - H2.
The confidence interval is the range from to|
(Round to two decimal places as needed. Use ascending order.)
Transcribed Image Text:Sample 2 Assume that both populations are normally distributed. a) Test whether µ, # µ, at the a = 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about u, - H2. Sample 1 17 13 17 14.3 3.5 3.1 E Click the icon to view the Student t-distribution table. A. Ho: H1 = H2, Hq: Hq # Hz O B. Ho: H1 = H2, H,: Hy <Hz OC. Ho: H1 #H2, Hq: Hy =H2 O D. Ho: H1 = H2, Hq: Hq>H2 Determine the test statistic. t= - 1.15 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. The critical value is O B. The lower critical value is -2.040. The upper critical value is 2.040. Should the hypothesis be rejected? Do not reject the null hypothesis because the test statistic is not in the critical region. b) Construct a 95% confidence interval about u, - H2. The confidence interval is the range from to| (Round to two decimal places as needed. Use ascending order.)
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