Assume that a human pregnancy has a population mean of 280 days and a population standard deviation of 8 days. Determine the following probabilities: (a) The probability that one randomly has chosen pregnant woman exceeds 284 days before giving birth. (b) We take a random sample of n = 5 pregnant women. Find the probability that the mean number of days for this group of 5 women exceeds 284 days.  (c) Compare your answers for parts a) and b). Why are they different?  (d) What was the value of the standard error for part a)? For part (b)? Why are these different? Please answer parts (c) and (d)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Question 1

Assume that a human pregnancy has a population mean of 280 days and a population standard deviation of 8 days. Determine the following probabilities:

(a) The probability that one randomly has chosen pregnant woman exceeds 284 days before giving birth.

(b) We take a random sample of n = 5 pregnant women. Find the probability that the mean number of days for this group of 5 women exceeds 284 days.

 (c) Compare your answers for parts a) and b). Why are they different?

 (d) What was the value of the standard error for part a)? For part (b)? Why are these different?

Please answer parts (c) and (d)

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