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
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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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