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Sample 1: n₁ = 19, x₁ = 19, s₁ = 2. Sample 2: n₂ = 27, x₂ = 16, s₂ = 0.5. (a) The test statistic is (b) Find the t critical value for a significance level of 0.02 for an alternative hypothesis that the first population has a larger mean (one- sided test). Use the more conservative estimate for the number of degrees of freedom: t* = (c) The conclusion is A. There is sufficient evidence to warrant rejection of the claim that the two populations have the same mean and accept that the first population has a larger mean. B. There is not sufficient evidence to warrant rejection of the claim that the two populations have the same mean.

Sample 1: n₁ = 19, x₁ = 19, s₁ = 2. Sample 2: n₂ = 27, x₂ = 16, s₂ = 0.5. (a) The test statistic is (b) Find the t critical value for a significance level of 0.02 for an alternative hypothesis that the first population has a larger mean (one- sided test). Use the more conservative estimate for the number of degrees of freedom: t* = (c) The conclusion is A. There is sufficient evidence to warrant rejection of the claim that the two populations have the same mean and accept that the first population has a larger mean. B. There is not sufficient evidence to warrant rejection of the claim that the two populations have the same mean.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. 

19, X₁ = 19, $₁ = 2. = = 27, x₂ = 16, s₂ = 0.5. Sample 1: n₁ = Sample 2: 1₂ (a) The test statistic is (b) Find the t critical value for a significance level of 0.02 for an alternative hypothesis that the first population has a larger mean (one- sided test). Use the more conservative estimate for the number of degrees of freedom: t* = (c) The conclusion is A. There is sufficient evidence to warrant rejection of the claim that the two populations have the same mean and accept that the first population has a larger mean. OB. There is not sufficient evidence to warrant rejection of the claim that the two populations have the same mean.
Transcribed Image Text:19, X₁ = 19, $₁ = 2. = = 27, x₂ = 16, s₂ = 0.5. Sample 1: n₁ = Sample 2: 1₂ (a) The test statistic is (b) Find the t critical value for a significance level of 0.02 for an alternative hypothesis that the first population has a larger mean (one- sided test). Use the more conservative estimate for the number of degrees of freedom: t* = (c) The conclusion is A. There is sufficient evidence to warrant rejection of the claim that the two populations have the same mean and accept that the first population has a larger mean. OB. There is not sufficient evidence to warrant rejection of the claim that the two populations have the same mean.
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