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# STATISTICS FOR BUSINESS AND ECONOMICS By CAROLYN BRADFORD | Oct 26, 2016 01:50AM CEST

The mean television viewing time for Americans is 15 hours per week. Suppose a sample of 60 Americans is taken to further investigate viewing habits. Assume the population standard deviation for weekly viewing time is 4 hours.
a. What is the probability the sample mean will be within 1 hour of the population mean?
b. What is the probability the sample mean wil be within 45 minutes of the population mean?

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Down By Paulin | Oct 27, 2016 09:13AM CEST | XLSTAT Agent

Dear Carolyn,

We suppose that the goal of this analyse is to test for a relative difference between means.
For a large sample size (n > 30) , we can assume that the mean television viewing time follows a normal distribution.
You can thus perform a one sample z-test ( two -tailed test) to compute each probability.
You will then have to set up your significance level alpha to the appropriate value to compute each probability (1 – pvalue) .

The one-sample z test is available within XLSTAT under the <Parametric tests> menu

Hope this helps

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