W2 Application Example of a z Two Samples

W2 Application Example of a z Two Samples - month. At the...

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Example of a z Test Statistic Two Populations As part of a study of corporate employees, the Director of Human Resources for PNC, Inc. wants to compare the distance traveled to work by employees at their offices in downtown Cincinnati with the distance for those in downtown Pittsburg. A sample of 35 Cincinnati employees showed they travel a mean of 370 miles per month, with a standard deviation of 30 miles per month. A sample of 40 Pittsburg employees showed they travel a mean of 380 miles per month, with a standard deviation of 26 miles per
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Unformatted text preview: month. At the 0.05 significance level, is there a difference in the mean number of miles traveled per month between Cincinnati and Pittsburg employees? The level of significance is 0,05. 1. State the null and alternative hypothesis. H o : c = p H 1 : c p 2. Calculate the test statistic. 2 2 370 380 (30) (26) 35 40 z-= + = -1 53 3. Formulate the decision rule. Reject H o if z less than -1.96 or greater than 1.96 4. Make a decision. Fail to reject H o ....
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