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Consider the following hypothesis test. Hoi Ky H2 = 0 На: H1 - H2 ± 0 The following results are from independent samples taken from two populations. Sample 1 n₁ = 35 X₁ = 13.6 $₁ = 5.5 Sample 2 = 40 7₂ X₂ = 10.1 $₂ = 8.8 (a) What is the value of the test statistic? (Use X₁ X₂. Round your answer to three decimal places.) 2.03 x (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) 73

Consider the following hypothesis test. Hoi Ky H2 = 0 На: H1 - H2 ± 0 The following results are from independent samples taken from two populations. Sample 1 n₁ = 35 X₁ = 13.6 $₁ = 5.5 Sample 2 = 40 7₂ X₂ = 10.1 $₂ = 8.8 (a) What is the value of the test statistic? (Use X₁ X₂. Round your answer to three decimal places.) 2.03 x (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) 73

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Consider the following hypothesis test. Hoi H - U2 = 0 Ha: M₁ M₂ #0 The following results are from independent samples taken from two populations. Sample 1 = 35 Sample 2 n₁ 7₂² X₁² = 13.6 X₂ = 10.1 $₁ = = 5.5 = 40 = 8.8 $₂= (a) What is the value of the test statistic? (Use x₁ - x₂. Round your answer to three decimal places.) 2.03 X (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) 73 X (c) What is the p-value? (Round your answer to four decimal places.) p-value = 0.0230 (d) At a = 0.05, what is your conclusion? Do not Reject Ho. There is insufficient evidence to conclude that μ₁ - ₂ # 0. Reject Ho. There is insufficient evidence to conclude that μ₁ −µ₂ ‡ 0. - Reject Ho. There is sufficient evidence to conclude that μ₁ − H₂ # # 0. - Do not Reject Ho. There is sufficient evidence to conclude that µ₁ −µ₂ ± 0.
Transcribed Image Text:Consider the following hypothesis test. Hoi H - U2 = 0 Ha: M₁ M₂ #0 The following results are from independent samples taken from two populations. Sample 1 = 35 Sample 2 n₁ 7₂² X₁² = 13.6 X₂ = 10.1 $₁ = = 5.5 = 40 = 8.8 $₂= (a) What is the value of the test statistic? (Use x₁ - x₂. Round your answer to three decimal places.) 2.03 X (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) 73 X (c) What is the p-value? (Round your answer to four decimal places.) p-value = 0.0230 (d) At a = 0.05, what is your conclusion? Do not Reject Ho. There is insufficient evidence to conclude that μ₁ - ₂ # 0. Reject Ho. There is insufficient evidence to conclude that μ₁ −µ₂ ‡ 0. - Reject Ho. There is sufficient evidence to conclude that μ₁ − H₂ # # 0. - Do not Reject Ho. There is sufficient evidence to conclude that µ₁ −µ₂ ± 0.
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