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)
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)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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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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