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# Hypothesis Testing: Z test for Mean

A researcher is testing the effectiveness of a new herbal supplement that claims to improve memory performance. A sample of n = 25 college students is obtained and each student takes the supplement daily for six week. At the end of the 6-week period, each student is given a standardized memory test, and the average score for the sample is M = 39. For the general population of college students, the distribution of test scores is normal with a mean of µ = 35 and a standard deviation of &#963; = 15. Do students taking the supplement have significantly better memory scores? Use a one-tailed test with &#945; = .05.

These data ________(are OR are not ) sufficient to conclude that the supplement has a significant effect.

#### Solution Summary

The solution provides step by step method for the calculation of test statistic for mean. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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