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Suppose that doctors testing a new medication suspect that it may have an effect on patient...

Suppose that doctors testing a new medication suspect that it may have an effect on patient blood pressure. Assume that systolic blood pressure of all adults over the age of 18 is normally distributed with a mean of 126.2  mmHg and a standard deviation of 19.4  mmHg. The doctors selected a random sample of 85  adults taking this new medication as part of a drug trial and found that their mean systolic blood pressure is 124.5 mmHg. They plan to use this information to conduct a one-sample z‑test.

What is the claim that they are testing?

The mean systolic blood pressure for all adults taking the new medication is 126.2 mmHg.

The mean systolic blood pressure for all adults is 126.2 mmHg.

The mean systolic blood pressure for the 85 adults in the sample is different from 126.2 mmHg.

The mean systolic blood pressure for all adults taking the new medication is different from 126.2 mmHg.

The mean systolic blood pressure for all adults taking the new medication is 124.5 mmHg.

Math   Statistics-And-Probability   
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Answer #1

Suppose that doctors testing a new medication suspect that it may have an effect on patient blood pressure.

Assume that systolic blood pressure of all adults over the age of 18 is normally distributed with a mean of 126.2  

Hypothesis test:

H0 : = 126.2

Ha : 126.2 (claim)​​

The claim that they are testing is if the mean systolic blood pressure for all adults taking the new medication is different from 126.2 pounds.

So D is the correct option.

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