Q 23 The Economic Policy Institute periodically issues reports on wages of entry level workers. The institute reported that extry level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80 per hour in 2011. Assume the standard deviation for male graduates is $2.30, and for female graduates it is $2.05. Part A What is the probability that a simple of 50 male graduates will provide a sample mean within $0.50 of the population mean, $21.68? Part B What is the probability that a simple 50 female graduates will provide a sample mean within $0.50 of the population mean, $18.80? Part 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 $0.50 of the population mean? Why?
Q 23 The Economic Policy Institute periodically issues reports on wages of entry level workers. The institute reported that extry level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80 per hour in 2011. Assume the standard deviation for male graduates is $2.30, and for female graduates it is $2.05. Part A What is the probability that a simple of 50 male graduates will provide a sample mean within $0.50 of the population mean, $21.68? Part B What is the probability that a simple 50 female graduates will provide a sample mean within $0.50 of the population mean, $18.80? Part 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 $0.50 of the population mean? Why?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 23PFA
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Q 23 | |||||||
The Economic Policy Institute periodically issues reports on wages of entry level workers. The institute reported that extry level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80 per hour in 2011. Assume the standard deviation for male graduates is $2.30, and for female graduates it is $2.05. | |||||||
Part A | |||||||
What is the probability that a simple of 50 male graduates will provide a sample |
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Part B | |||||||
What is the probability that a simple 50 female graduates will provide a sample mean within $0.50 of the population mean, $18.80? | |||||||
Part 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 $0.50 of the population mean? Why? | |||||||
Part D | |||||||
What is the probability that a simple random sample of 120 female graduates will provide a sample mean more than $0.30 below the population mean? | |||||||
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