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.

Reject the null hypothesis.

Do not reject the null hypothesis.

Cannot determine with the information given.

math Statistics-And-Probability

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Answer 1

Answer #1

Solution :-

H0: µ1 ≤ µ2

H1: µ1 > µ2

The Above test is right tailed test.

By using table at DF = 11 and t - statistic = 1.67

P -Value = 0.06

Condidtion :- If P -value is > alpha -- Do not reject the Null Hypothesis.

Here,

P -value = 0.06 > alpha = 0.05

Ans :- Do not reject the Null Hypothesis.

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Answer 2

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