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

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. Suppose also, 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.

Which statement is an appropriate to conclusion?

None of the above 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. The researcher has strong evidence that people that use this herbal extract, on average, have higher memory test scores than those that don't use this extract. However, the difference may or may not be important. The researcher has conclusively proved that use of this herbal extract improves memory.

Explanation / Answer

Z Score = (55.2-50)/(4/sqrt(100)) = 5.2/0.4 = 13 For Z = 13 we get px<0.00001 we see here that px < p so null hypothesis will be rejected Now as px<0.00001 we can say that result is highly significant So the correct option is"The researcher has strong evidence that people that use this herbal extract, on average, have higher memory test scores than those that don't use this extract. However, the difference may or may not be important."

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