dependent random samples were selected from each of two normally distributed populations, n1 = 16 from population 1 and n2 = 25 from population 2. The eans and variances for the two samples are shown in the following table. Test the null hypothesis that the variances for the two populations are equal. Use a=0.1. Samples Sample Size Mean Standard Deviation Sample 1 16 22.5 2.87 Sample 2 25 28.2 9.85 Critical Values (Round off to 3 decimal places): Test Statistic (Round off to 2 decimal places): Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')

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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Independent random samples were selected from each of two normally distributed populations, n1 = 16 from population 1 and n2 = 25 from population 2. The
means and variances for the two samples are shown in the following table. Test the null hypothesis that the variances for the two populations are equal. Use a=0.1.
Samples
Sample Size
Mean
Standard Deviation
Sample 1
16
22.5
2.87
Sample 2
25
28.2
9.85
(1) Critical Values (Round off to 3 decimal places):
(2) Test Statistic (Round off to 2 decimal places):
3) Conclusion:
(Type 'Reject HO' or 'Fail to Reject HO')
Transcribed Image Text:Independent random samples were selected from each of two normally distributed populations, n1 = 16 from population 1 and n2 = 25 from population 2. The means and variances for the two samples are shown in the following table. Test the null hypothesis that the variances for the two populations are equal. Use a=0.1. Samples Sample Size Mean Standard Deviation Sample 1 16 22.5 2.87 Sample 2 25 28.2 9.85 (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): 3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')
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