6.51 A distribution of means and the General Social Survey: Refer to Exercise 6.49. Again, pretend that the GSS sample is the entire population of interest.

a. Imagine that you randomly selected 80 people from this population, and that they had a mean of 8.7. Would you compare this sample mean to a distribution of scores or to a distribution of means? Explain your answer.

b. What is the z statistic for this mean? Based on this z statistic, what is the approximate percentile for this sample?

c. Does it make sense to calculate a percentile for this sample? Explain your answer. (Hint: Consider the shape of the distribution.)