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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?
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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