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Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and men have the same mean diastolic blood pressure. What are the null and alternative hypotheses?

A) H0: μw = μm, Ha: μw ≠ μm
B) H0: μw < μm, Ha: μw > μm
C) H0: μw > μm, Ha: μw < μm
D) H0: μw ≠ μm, Ha: μw > μm

1 Answer

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Final answer:

The null and alternative hypotheses to test for equality in mean diastolic blood pressure between women and men, using a 0.05 significance level, are H0: μw = μm and Ha: μw ≠ μm.

Step-by-step explanation:

The question is asking you to formulate the null and alternative hypotheses to test the claim that women and men have the same mean diastolic blood pressure using a 0.05 significance level. The correct null and alternative hypotheses for a two-tailed test about equality (or non-equality) of two means are H0: μw = μm and Ha: μw ≠ μm. This means we are testing if there is a difference in either direction (higher or lower) between females (μw) and males (μm) mean diastolic blood pressure, without specifying which one we expect to be higher. Answer A represents this case and is the correct choice.

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