Consider the following hypothesis test. Hoi “1 — Hz = 0 Ha: 11 - м2 + 0 The following results are from independent samples taken from two populations. Sample 1 n1 = 35 = X1 $1 = 5.6 13.6 Sample 2 72 = 40 10.1 x2 $2 = 8.4

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Consider the following hypothesis test.
Ho: 1 - 2 = 0
Ha ₁-₂ 0
The following results are from independent samples taken from two populations.
Sample 1
n₁ = 35
X₁ = 13.6
S₁ = 5.6
Sample 2
"2 = 40
X2 = 10.1
S₂ = 8.4
(a) What is the value of the test statistic? (Use X₁ X₂. Round your answer to three decimal places.)
(b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.)
(c) What is the p-value? (Round your answer to four decimal places.)
p-value =
Transcribed Image Text:Consider the following hypothesis test. Ho: 1 - 2 = 0 Ha ₁-₂ 0 The following results are from independent samples taken from two populations. Sample 1 n₁ = 35 X₁ = 13.6 S₁ = 5.6 Sample 2 "2 = 40 X2 = 10.1 S₂ = 8.4 (a) What is the value of the test statistic? (Use X₁ X₂. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) What is the p-value? (Round your answer to four decimal places.) p-value =
(d) At a = 0.05, what is your conclusion?
O Do not Reject Ho. There is sufficient evidence to conclude that μ₁ - ₂ + 0.
O Reject Ho. There is sufficient evidence to conclude that μ₁
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 - ₂0.
- μ₂ # 0.
Transcribed Image Text:(d) At a = 0.05, what is your conclusion? O Do not Reject Ho. There is sufficient evidence to conclude that μ₁ - ₂ + 0. O Reject Ho. There is sufficient evidence to conclude that μ₁ 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 - ₂0. - μ₂ # 0.
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