Sampling Distribution question

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star.0909

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The Economics Policy Institute periodically issues reports on wages of entry-level workers. The Institute reported that entry-level wages for male college graduates were $43.36 per hour, and for female college graduates were $37.60 per hour. Assume the standard deviation for male graduates is $2.30 and for female graduates is $2.05.
  1. What is the probability that a sample of 50 male graduates will provide a sample mean within $0.50 of the population mean, $43.36? (3 marks)
2. What is the probability that a sample of 50 female graduates wil l provide a sample mean within $0.50 of the population mean, $37.60? (3 marks)

  1. 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? (2 marks)
  2. What is the probability that a sample of 120 female graduates will provide a sample mean more than $0.30 below the population mean? (2 marks)
 
star.0909 said:
The Economics Policy Institute periodically issues reports on wages of entry-level workers. The Institute reported that entry-level wages for male college graduates were $43.36 per hour, and for female college graduates were $37.60 per hour. Assume the standard deviation for male graduates is $2.30 and for female graduates is $2.05.
  1. What is the probability that a sample of 50 male graduates will provide a sample mean within $0.50 of the population mean, $43.36? (3 marks)
2. What is the probability that a sample of 50 female graduates wil l provide a sample mean within $0.50 of the population mean, $37.60? (3 marks)

  1. 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? (2 marks)
  2. What is the probability that a sample of 120 female graduates will provide a sample mean more than $0.30 below the population mean? (2 marks)
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Question 1

0.50 x 43.60 = 21.8 or 22
Therefore the probability is 22 out of the 50 sampled will provide a mean within $0.50.

Question 2
0.50 x 37.60 = 18.8 or 19 (Therefore the probability is 19 out of the 50 sampled will provide a mean within $0.50

And need help on question 3 and 4
 
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