Working with Large Data Sets
10. 170 Faculty Salaries. The American Association of University Professors (AAUP) conducts salary studies of college professors and publishes its findings in AAUP Annual Report on the Economic Status of the Profession. In Example 10.3 on pages 449-451, we performed a hypothesis lest based on independent samples to decide whether
- a. Decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that mean salaries differ for faculty in private institutions and public institutions. Use the paired t-test.
- b. Compare your result in part (a) to the one obtained in Example 10.3.
- c. Repeat both the pooled t-test of Example 10.3 and the paired t-test of part (a), using a 1% significance level, and compare your results.
- d. Which test do you think is preferable here: the pooled t-test or the paired t-test? Explain your answer.
- e. Find and interpret a 95% confidence interval for the difference between the mean salaries of faculty in private and public institutions. Use the paired t-interval procedure.
- f. Compare your result in part (e) to the one obtained in Example 10.4 on page 452.
- g. Obtain a normal probability plot and a bus plot of the paired differences.
- h. Based on your graphs from part (g), do you think that applying paired t-procedures here is reasonable?
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Introductory Statistics (10th Edition)
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning