The Economic Policy Institute periodically issues reports on worker's wages. The institute reported that mean wages for male college graduates were $37.39 per hour and for female college graduates were $27.83 per hour in 2017. Assume the standard deviation for male graduates is $4.60, and for female graduates it is $4.10. Use z-A:ble. 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, $37.39? 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 $1.00 of the population mean? Select your answer - Why? Because the standard error for female graduates is Select your answer - e the standard error for male graduates d. What is the probability that a sample of 120 female graduates will prouido

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 $37.39 per
hour and for female college graduates were $27.83 per hour in 2017. Assume the standard deviation for male graduates is $4.60, and for female graduates it is
$4.10. Use z-ble.
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, $37.39?
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 $1.00 of the population
mean?
- Select your answer-
Why?
Because the standard error for female graduates is
Select your answer-
A the standard error for male graduates
d. What is the probability that a sample of 120 female graduates will provide a sample mean more than $0.60 below the population mean, $27.83?
Transcribed Image Text:The Economic Policy Institute periodically issues reports on worker's wages. The institute reported that mean wages for male college graduates were $37.39 per hour and for female college graduates were $27.83 per hour in 2017. Assume the standard deviation for male graduates is $4.60, and for female graduates it is $4.10. Use z-ble. 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, $37.39? 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 $1.00 of the population mean? - Select your answer- Why? Because the standard error for female graduates is Select your answer- A the standard error for male graduates d. What is the probability that a sample of 120 female graduates will provide a sample mean more than $0.60 below the population mean, $27.83?
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