Consider the following hypothesis test. HH₁-₂50 Hai khi — ty → 0 The following results are for two independent samples taken from the two populations. Sample 1 7₁40 = 25.6 ₁5.4 Sample 2 7₂ = 50 = 22.8 %2=6 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) (c) With a = 0.05, what is your hypothesis testing conclusion? Reject Ho There is sufficient evidence to conclude that ₁₂0. O Reject H. There is insufficient evidence to conclude that μ₁ - ₂ > 0. O Do not reject H. There is insufficient evidence to conclude that . - , > 0. Do not Reject Ho. There is sufficient evidence to conclude that .- > 0.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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You may need to use the appropriate appendix table or technology to answer this question.
Consider the following hypothesis test.
HH₁-H₂SO
H₂H₁-₂0
The following results are for two independent samples taken from the two populations.
Sample 1 Sample 2
₁40
IX
= 25.6
2₂ = 50
= 22.8
9₂
σ. = 5.4
%2=6
(a) What is the value of the test statistic? (Round your answer to two decimal places.)
(b) What is the p-value? (Round your answer to four decimal places.)
(c) With a = 0.05, what is your hypothesis testing conclusion?
Reject H. There is sufficient evidence to conclude that μ-1₂ > 0.
Reject H. There is insufficient evidence to conclude that μ₁ −μ₂ > 0.
O Do not reject H. There is insufficient evidence to conclude that , - , > 0.
Do not Reject Ho. There is sufficient evidence to conclude that ₂-₂ > 0.
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. HH₁-H₂SO H₂H₁-₂0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 ₁40 IX = 25.6 2₂ = 50 = 22.8 9₂ σ. = 5.4 %2=6 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) (c) With a = 0.05, what is your hypothesis testing conclusion? Reject H. There is sufficient evidence to conclude that μ-1₂ > 0. Reject H. There is insufficient evidence to conclude that μ₁ −μ₂ > 0. O Do not reject H. There is insufficient evidence to conclude that , - , > 0. Do not Reject Ho. There is sufficient evidence to conclude that ₂-₂ > 0.
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