A researcher wishes to determine if the use of an herbal extract improves memory

Question

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. Suppose that another researcher attempts to replicate the study described above. She uses a sample of 10 subjects and observes a sample mean memory score of 55.2, the same as the sample mean described in the first study. It is appropriate to conclude which of the following?

Explanation / Answer

Options are required to conclude the answer, but the p-value of large sample will be less than that of smaller sample if sample mean is same (which it is)

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