SOLUTION: Suppose the mean height of women age 20 years or older in a certain country is 62.9 inches. One hundred randomly selected women in a certain city had a mean height of 61.7 inch

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Question 1116091: Suppose the mean height of women age 20 years or older in a certain country is
62.9 inches. One hundred randomly selected women in a certain city had a mean height of
61.7 inches. At the
5​% significance​ level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national​ mean? Assume that the population standard deviation of the heights of women in the city is
3.6 inches.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Suppose the mean height of women age 20 years or older in a certain country is
62.9 inches. One hundred randomly selected women in a certain city had a mean height of 61.7 inches.
At the 5​% significance​ level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national​ mean?
Assume that the population standard deviation of the heights of women in the city is 3.6 inches.
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Ho: u = 62.9
Ha: u # 62.9 (claim)
sample mean = x-bar = 61.7
test statistic:: z(61.7) = (61.7-62.9)/3.6 = -1/3
p-value = 2*p(z < -1/3) = 2*normalcdf(-100,-1/3) = 0.74
---
Since the p-value is greater than 5%, fail to reject Ho.
The test results do not support the claim that the mean
height of women in the city differs from the national mean.
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Cheers,
Stan H.
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