We found the mean number of years of education is 12.78 with a standard deviation of 3.48 among a total of 2,152GSS respondents. Assuming that years of education isnormally distributed, answer the following questions. a) If you have 14.21 years of education, 1) what is your z-score? 2) what is your percentile value? b) If your friend is in the 80thpercentile, how many years of education does she have? c) How many people have between your years of education (i.e.,14.21) and your friend’s years of education (i.e., 80thpercentile)? d) Construct and interpret an estimate of the population mean number of years of education at the 95% level.

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