The economic policy Institute periodically issues reports on workers 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 table.

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The economic policy Institute periodically issues reports on workers 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 table.

please answer part b, c, d

 

a. What is the probability that a sample of 50 mill graduates will provide a sample mean within one dollar of the population mean, $37.39?

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

c. In which of the proceeding two cases, part a or Parville, do we have a higher probability of obtaining A sample estimate within one dollar of the population mean?

why?

Because the standard error for female graduates is blank 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 $.60 below the population mean, $27.83?

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Exercise 07.23 (Sampling Distribution of x)
Hint
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 col
(27.83 per hour in 2017. Assume the standard deviation for male graduates is $4.60, and for female graduates it is 94.10. 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 mnean within $1.00 of the population mean, S37.397
.8764
b. What is the probability that a sample of 50 female graduates will provide a sample mean within $1.00 of the population mean, $27.837
:4176
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?
Part (b)
Why?
Because the standard error for female graduates is smaller than
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 80.60 below the population mean, 827.837
Fide reedback
Partially Correct
Hin
~Icon Key
Exercise 07.23 (Sampling Distribution of x)
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Transcribed Image Text:Save Submi nestions Exercise 07.23 (Sampling Distribution of x) Hint 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 col (27.83 per hour in 2017. Assume the standard deviation for male graduates is $4.60, and for female graduates it is 94.10. 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 mnean within $1.00 of the population mean, S37.397 .8764 b. What is the probability that a sample of 50 female graduates will provide a sample mean within $1.00 of the population mean, $27.837 :4176 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? Part (b) Why? Because the standard error for female graduates is smaller than 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 80.60 below the population mean, 827.837 Fide reedback Partially Correct Hin ~Icon Key Exercise 07.23 (Sampling Distribution of x) Save Submi
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