Refer to Exercise 38. a. Find the probability of getting a difference in sample means xMxW thats
Question:
Refer to Exercise 38.
a. Find the probability of getting a difference in sample means x¯M−x¯W
that’s greater than 2 inches.
b. Should we be surprised if the sample mean height for the young men is at least 2 inches greater than the sample mean height for the young women? Explain your answer.
Exercise 38.
The heights of young men follow a Normal distribution with mean μM = 69.3
inches and standard deviation σM = 2.8
inches. The heights of youngwomen follow a Normal distribution with mean μW=64.5
inches and standard deviation σW=2.5
inches. Suppose we select independent SRSs of 16 young men and 9 young women and calculate the sample mean heights x¯M
and x¯W
.
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To solve this problem well first calculate the difference in sample means xM xW and then find the probability that this difference is greater than 2 i...View the full answer
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MERCY NGEI
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