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?

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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 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 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 smaller?
   
   
  Why?
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?
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
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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? The input in the box below will not be graded, but may be reviewed and considered by your instructor. blank
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