Consider the following hypothesis test. но: 1-250 H₂H₁-H₂> 0 The following results are for two independent samples taken from two populations. Sample 1 Sample Size Sample Mean Sample Variance 142 (a) Determine the degrees of freedom for the t-distribution. (Use Sample 1 - Sample 2. Round your answer down to the nearest integer.) 31 39 Sample 2 28 (d) Test the above hypotheses. Let a = 0.05. 32 172 (b) Compute the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value. (Round your answer to four decimal places.) O Reject Ho. There is sufficient evidence to conclude that μ₁ - ₂ > 0. O Do not reject Ho. There is sufficient evidence to conclude that ₁ - ₂ > 0. O Do not reject Ho. There is insufficient evidence to conclude that μ₁ −μ₂ > 0. O Reject Ho. There is insufficient evidence to conclude that μ₁ - ₂ > 0.

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Consider the following hypothesis test.
но: 1-12 30
На: М1 - м2 > 0
The following results are for two independent samples taken from two populations.
Sample 2
Sample Size
Sample Mean
Sample Variance
Sample 1
31
39
142
28
32
172
(a) Determine the degrees of freedom for the t-distribution. (Use Sample 1 - Sample 2. Round your answer down to the nearest integer.)
(d) Test the above hypotheses. Let a = 0.05.
(b) Compute the test statistic. (Round your answer to three decimal places.)
(c) Determine the p-value. (Round your answer to four decimal places.)
Reject Ho. There is sufficient evidence to conclude that μ₁ - ₂ > 0.
O Do not reject Ho. There is sufficient evidence to conclude that μ₁ - M₂ > 0.
Do not reject Ho. There is insufficient evidence to conclude that ₁-H₂ > 0.
Reject Ho. There is insufficient evidence to conclude that μ₁ - ₂ > 0.
Transcribed Image Text:Consider the following hypothesis test. но: 1-12 30 На: М1 - м2 > 0 The following results are for two independent samples taken from two populations. Sample 2 Sample Size Sample Mean Sample Variance Sample 1 31 39 142 28 32 172 (a) Determine the degrees of freedom for the t-distribution. (Use Sample 1 - Sample 2. Round your answer down to the nearest integer.) (d) Test the above hypotheses. Let a = 0.05. (b) Compute the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value. (Round your answer to four decimal places.) Reject Ho. There is sufficient evidence to conclude that μ₁ - ₂ > 0. O Do not reject Ho. There is sufficient evidence to conclude that μ₁ - M₂ > 0. Do not reject Ho. There is insufficient evidence to conclude that ₁-H₂ > 0. Reject Ho. There is insufficient evidence to conclude that μ₁ - ₂ > 0.
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