The Economic Policy Institute periodically issues reports on wages of entry-level workers. The institute reported that entry-level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80 per hour in 2011. Assume that the standard deviation for male graduates is $2.30, and for female graduates it is $2.05. (a) What is the sampling distribution of x for a random sample of 50 male college graduates? If required, round your answer to four decimal places. (b) What is the sampling distribution of x for a random sample of 50 female college graduates? If required, round your answer to four decimal places. (c) In which of the preceding two cases, part (a) or part (b), is the standard error of x smaller?
The Economic Policy Institute periodically issues reports on wages of entry-level workers. The institute reported that entry-level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80 per hour in 2011. Assume that the standard deviation for male graduates is $2.30, and for female graduates it is $2.05. (a) What is the sampling distribution of x for a random sample of 50 male college graduates? If required, round your answer to four decimal places. (b) What is the sampling distribution of x for a random sample of 50 female college graduates? If required, round your answer to four decimal places. (c) In which of the preceding two cases, part (a) or part (b), is the standard error of x smaller?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The Economic Policy Institute periodically issues reports on wages of entry-level workers. The institute reported that entry-level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80 per hour in 2011. Assume that the standard deviation for male graduates is $2.30, and for female graduates it is $2.05.
| (a) | What is the sampling distribution of x for a random sample of 50 male college graduates? If required, round your answer to four decimal places. |
| (b) | What is the sampling distribution of x for a random sample of 50 female college graduates? If required, round your answer to four decimal places. |
| (c) | In which of the preceding two cases, part (a) or part (b), is the standard error of x smaller? |
| Why? |
Transcribed Image Text:The Economic Policy Institute periodically issues reports on wages of entry-level workers. The institute reported that entry-level wages for male college graduates were $21.68 per
hour and for female college graduates were $18.80 per hour in 2011. Assume that the standard deviation for male graduates is $2.30, and for female graduates it is $2.05.
(a) What is the sampling distribution of x for a random sample of 50 male college graduates? If required, round your answer to four decimal places.
(b) What is the sampling distribution of x for a random sample of 50 female college graduates? If required, round your answer to four decimal places.
(c) In which of the preceding two cases, part (a) or part (b), is the standard error of x smaller?
part (b)
Why?
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