Test the claim about the differences between two population variances o and o at the given level of significance a using the given sample statistics. Assume that the sample statistics are from independent samples that are randomly selected and each population has a normal distribution. Claim: o = o, a= 0.01 Sample statistics: s = 9.7, n, = 10, s = 6.3, n, =9 Find the null and alternative hypotheses. OA. Ho o #03 O B. Ho; of =0 OC. Ho: o z03 OD. H, of so Find the critical value. (Round to two decimal places as needed.) Find the test statistic. (Round to two decimal places as needed.) Choose the correct conclusion below. O A. Reject the null hypothesis. There is enough evidence to reject the claim. O B. Fail to reject the null hypothesis. There is not enough evidence to reject the claim. O C. Falil to reject the null hypothesis. There is not enough evidence to support the claim. O D. Reject the null hypothesis. There is enough evidence to support the claim.

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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Test the claim about the differences between two population variances o and o at the given level of significance a using the given sample statistics. Assume that the sample statistics are from independent samples that are randomly selected
and each population has a normal distribution.
Claim: o = o, a = 0.01
Sample statistics: s = 9.7, n, = 10, s = 6.3, n, =9
Find the null and alternative hypotheses.
O A. Ho: o #03
OB. Ho: of =0
OD. Hg: of so
H, of >o?
OC. Ho: o z03
Find the critical value.
(Round to two decimal places as needed.)
Find the test statistic.
(Round to two decimal places as needed.)
Choose the correct conclusion below.
O A. Reject the null hypothesis. There is enough evidence to reject the claim.
O B. Fail to reject the null hypothesis. There is not enough evidence to reject the claim.
OC. Fail to reject the null hypothesis. There is not enough evidence to support the claim.
O D. Reject the null hypothesis. There is enough evidence to support the claim.
Transcribed Image Text:Test the claim about the differences between two population variances o and o at the given level of significance a using the given sample statistics. Assume that the sample statistics are from independent samples that are randomly selected and each population has a normal distribution. Claim: o = o, a = 0.01 Sample statistics: s = 9.7, n, = 10, s = 6.3, n, =9 Find the null and alternative hypotheses. O A. Ho: o #03 OB. Ho: of =0 OD. Hg: of so H, of >o? OC. Ho: o z03 Find the critical value. (Round to two decimal places as needed.) Find the test statistic. (Round to two decimal places as needed.) Choose the correct conclusion below. O A. Reject the null hypothesis. There is enough evidence to reject the claim. O B. Fail to reject the null hypothesis. There is not enough evidence to reject the claim. OC. Fail to reject the null hypothesis. There is not enough evidence to support the claim. O D. Reject the null hypothesis. There is enough evidence to support the claim.
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