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Consider the following hypothesis test. Ho: H1-12 50 Hai thì t20 The following results are for two independent samples taken from two populations. Sample Size Sample Mean Sample Variance 69 Sample 1 34 42 141 Sample 2 30 35 171 (a) Determine the degrees of freedom for the t-distribution. (Use Sample 1 - Sample 2. Round your answer down to the nearest integer.) x (b) Compute the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value. (Round your answer to four decimal places.) (d) Test the above hypotheses. Let a = 0.05. O Do not reject Ho. There is insufficient evidence to conclude that μ₁-H₂ > 0. O Do not reject Ho. There is sufficient evidence to conclude that ₁-₂ > 0. O Reject Ho. There is insufficient evidence to conclude that ₁ - ₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁-₂ > 0.

Consider the following hypothesis test. Ho: H1-12 50 Hai thì t20 The following results are for two independent samples taken from two populations. Sample Size Sample Mean Sample Variance 69 Sample 1 34 42 141 Sample 2 30 35 171 (a) Determine the degrees of freedom for the t-distribution. (Use Sample 1 - Sample 2. Round your answer down to the nearest integer.) x (b) Compute the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value. (Round your answer to four decimal places.) (d) Test the above hypotheses. Let a = 0.05. O Do not reject Ho. There is insufficient evidence to conclude that μ₁-H₂ > 0. O Do not reject Ho. There is sufficient evidence to conclude that ₁-₂ > 0. O Reject Ho. There is insufficient evidence to conclude that ₁ - ₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁-₂ > 0.

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 14PPS
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Consider the following hypothesis test. Ho: M₁ M₂ ≤ 0 Ha: M₁ M₂ > 0 The following results are for two independent samples taken from two populations. Sample Size Sample Mean Sample Variance 69 Sample 1 34 42 141 Sample 2 30 35 171 (a) Determine the degrees of freedom for the t-distribution. (Use Sample 1 - Sample 2. Round your answer down to the nearest integer.) X (b) Compute the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value. (Round your answer to four decimal places.) (d) Test the above hypotheses. Let a = 0.05. O Do not reject Ho. There is insufficient evidence to conclude that μ₁ - M₂ > 0. O Do not reject Ho. There is sufficient evidence to conclude that μ₁ - ₂ > 0. O Reject Ho. There is insufficient evidence to conclude that μ₁ - ₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0.
Transcribed Image Text:Consider the following hypothesis test. Ho: M₁ M₂ ≤ 0 Ha: M₁ M₂ > 0 The following results are for two independent samples taken from two populations. Sample Size Sample Mean Sample Variance 69 Sample 1 34 42 141 Sample 2 30 35 171 (a) Determine the degrees of freedom for the t-distribution. (Use Sample 1 - Sample 2. Round your answer down to the nearest integer.) X (b) Compute the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value. (Round your answer to four decimal places.) (d) Test the above hypotheses. Let a = 0.05. O Do not reject Ho. There is insufficient evidence to conclude that μ₁ - M₂ > 0. O Do not reject Ho. There is sufficient evidence to conclude that μ₁ - ₂ > 0. O Reject Ho. There is insufficient evidence to conclude that μ₁ - ₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0.
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