Suppose the mean height of women age 20 years or older in a certain country is 62.7 inches. One hundred randomly selected women in a certain city had a mean height of 63.9 inches. At the 1% 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 3.8 inches. Click here to view a partial table of areas under the standard normal curve. Set up the hypotheses for the one-mean z-test. Ho H 62.7 H3 u 62.7 The test statistic is z= 3.16 (Round to two decimal places as needed.) The P-value is (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose the mean height of women age 20 years or older in a certain country is 62.7 inches. One hundred randomly selected women in a certain city had a mean
height of 63.9 inches. At the 1% 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 3.8 inches.
Click here to view a partial table of areas under the standard normal curve.
Set up the hypotheses for the one-mean z-test.
Ho: H
62.7
Ha H 62.7
The test statistic is z= 3.16
(Round to two decimal places as needed.)
The P-value is
(Round to four decimal places as needed.)
Transcribed Image Text:Suppose the mean height of women age 20 years or older in a certain country is 62.7 inches. One hundred randomly selected women in a certain city had a mean height of 63.9 inches. At the 1% 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 3.8 inches. Click here to view a partial table of areas under the standard normal curve. Set up the hypotheses for the one-mean z-test. Ho: H 62.7 Ha H 62.7 The test statistic is z= 3.16 (Round to two decimal places as needed.) The P-value is (Round to four decimal places as needed.)
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