A researcher poses a null hypothesis of H0: µ1 ≤ µ2, and a research hypothesis of...

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A researcher poses a null hypothesis of H0: µ1 ≤ µ2, and a research hypothesis of...

A researcher poses a null hypothesis of H0: µ1 ≤ µ2, and a research hypothesis of H1: µ1 > µ2. The researcher selects an α = 0.05 critical threshold. The test has 11 degrees of freedom. The researcher obtains a t-statistic of 1.67. Determine which course of action is most appropriate.

math Statistics-And-Probability

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Answer 1

Answer #1

p-value = P(t₁₀ > 1.67) = 0.0629

Since p-value is not less than α = 0.05, we should not reject the null hypothesis.

Conclusion: Fail to reject H0.

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Answer 2

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