The Economic Policy Institute periodically issues reports on worker's wages. The institute reported that mean wages for male college graduates were $37.29  per hour and for female college graduates were $27.83 per hour in . Assume the standard deviation for male graduates is $4.60 , and for female graduates it is $4.10  . Use z-table. Round your answers to four decimal places. a. What is the probability that a sample of 50 male graduates will provide a sample mean within $1.00 of the population mean, $37.29?   b. What is the probability that a sample of 50 female graduates will provide a sample mean within$1.00  of the population mean,$27.83 ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The Economic Policy Institute periodically issues reports on worker's wages. The institute reported that mean wages for male college graduates were $37.29  per hour and for female college graduates were $27.83 per hour in . Assume the standard deviation for male graduates is $4.60 , and for female graduates it is $4.10  . Use z-table.

Round your answers to four decimal places.

a. What is the probability that a sample of 50 male graduates will provide a sample mean within $1.00 of the population mean, $37.29?

 

b. What is the probability that a sample of 50 female graduates will provide a sample mean within$1.00  of the population mean,$27.83 ?

 

c. In which of the preceding two cases, part (a) or part (b), do we have a higher probability of obtaining a sample estimate within  of the population mean? part a or b

 

Why?

Because the standard error for female graduates is equal to, greater than or smaller than   the standard error for male graduates

d. What is the probability that a sample of 50 female graduates will provide a sample mean more than $0.60 below the population mean,$27.83 ?

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