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  1. The national mean annual salary for school administrator is $90,000 a year (The Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average.
  1. Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $90,000.
  2. The sample data for 25 Ohio administrators is contained in the file named Administrator. What is the p-value for the hypothesis test in part (a)?
  3. At a = 0.05, can your null hypothesis be rejected? What is your conclusion?
  4. Repeat the preceding hypothesis test using the critical value approach.
  1. A recent issue of the AARP Bulletin reported that the average weekly pay for a woman with a high school degree is $520. Suppose you would like to determine if the average weekly pay for all working women is significantly greater than that for women with a high school degree. Data providing the weekly pay for a sample of 50 working women are available in the file named WeeklyPay. These data are consistent with the findings reported in the AARP article.
  1. State the hypotheses that should be used to test whether the mean weekly pay for all women is significantly greater than the mean weekly pay for women with a high school degree.
  2. Use the data in the file named WeeklyPay to compute the mean, the test statistic, and the p-value.
  3. Use a = 0.05, what is your conclusion?
  4. Repeat the hypothesis test using the critical value approach.

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