Question: A random sample is selected from a normal population with a mean of m 5 40 and a standard deviation of s 5 6. After

A random sample is selected from a normal population with a mean of m 5 40 and a standard deviation of s 5 6.

After a treatment is administered to the individuals in the sample, the sample mean is found to be M 5 37.

a. If the sample consists of n 5 36 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a 5 .05.

b. If the sample consists of n 5 9 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a 5 .05.

c. Comparing your answers for parts a and

b, explain how the size of the sample influences the outcome of a hypothesis test.

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