H 0 : ? = 50, H a : ? > 50 A researcher wishes to determine if the use of an her

Question

H0: ? = 50, Ha: ? > 50

A researcher wishes to determine if the use of an herbal extract improves memory. Subjects will take the herbal extract regularly during a 10-week period of time. After this course of treatment, each subject has his or her memory tested using a standard memory test. Suppose the scores on this test of memory for all potential subjects taking the herbal extract follow a Normal distribution with mean ? and standard deviation ? = 6. Also, suppose that in the general population of all people, scores on the memory test follow a Normal distribution, with mean ? = 50 and standard deviation ? = 4. The researcher, therefore, decides to test the hypotheses

H0: ? = 50, Ha: ? > 50

To do so, the researcher has 100 subjects follow the protocol described above. The mean score for these students is = 55.2 and the P-value is less than 0.0001.

It is appropriate to conclude which of the following? A. The researcher has conclusively proved that use of this herbal extract improves memory. B. The researcher has strong evidence that people who use this herbal extract, on average, have higher memory test scores than those who don't use this extract. However, the difference may or may not be important. C. The researcher has strong evidence that use of this herbal supplement improves memory, and because the P-value is so small, the difference must be substantial. D. None of the above

Explanation / Answer

test of significance does not comment on practicality of difference.

B. The researcher has strong evidence that people who use this herbal extract, on average, have higher memory test scores than those who don't use this extract. However, the difference may or may not be important.

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