3. We found the mean number of years of education is 13.05 with a standard deviation of 3.02 among a total of 2,500 GSS respondents. Assuming that years of education is normally distributed, answer the following questions. a) If you have 13.-77 years of education, 1) what is your z score? 2) what is your percentile value? b) If your friend is in the 70th percentile, how many years of education does she have? c) How many people have between your years of education (i.e., 13.77) and your friend's years of education (i.e., 80th percentile)? d) Construct and interpret an estimate of the population mean number of years of edu- cation at the 95% level.

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3. We found the mean number of years of education is 13.05 with a standard deviation of
3.02 among a total of 2,500 GSS respondents. Assuming that years of education is normally
distributed, answer the following questions.
a) If you have 13.77 years of education, 1) what is your z score? 2) what is your percentile
value?
b) If your friend is in the 70h percentile, how many years of education does she have?
c) How many people have between your years of education (i.e., 13.77) and your friend's
years of education (i.e., 80th percentile)?
d) Construct and interpret an estimate of the population mean number of years of edu-
cation at the 95% level.
Transcribed Image Text:3. We found the mean number of years of education is 13.05 with a standard deviation of 3.02 among a total of 2,500 GSS respondents. Assuming that years of education is normally distributed, answer the following questions. a) If you have 13.77 years of education, 1) what is your z score? 2) what is your percentile value? b) If your friend is in the 70h percentile, how many years of education does she have? c) How many people have between your years of education (i.e., 13.77) and your friend's years of education (i.e., 80th percentile)? d) Construct and interpret an estimate of the population mean number of years of edu- cation at the 95% level.
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