SECTION 10.4 Analysis of Variance 567 11. Well-Being Index The well-being index is a way to measure how people are faring physically, emotionally, socially, and professionally, as well as to rate the overall quality of their lives and their outlooks for the future. The table shows the well-being index scores for a sample of states from four regions of the United States. At a = 0.10, can you reject the claim that the mean score is the same for all regions? (Adapted from Gallup and Healthways) 12. Days Spent at the Hospital In a recent study, a health insurance company investigated the number of days patients spent at the hospital. In part of the study, the company selected a sample of patients from four regions of the United States and recorded the number of days each patient spent at the hospital. The table shows the results of the study. At a = 0.01, can the company reject the claim that the mean number of days patients spend at the hospital is the same for all four regions? (Adapted from National Center for Health Statistics) Northeast Midwest South West 6 6 3 3 4 6 5 4 7 7 6 6 2 3 6 4 3 5 3 6 4 4 7 6 6 4 4 5 8 3 2 9 2 13. Statistician Salaries The table shows the salaries of a sample of entry level statisticians from six large metropolitan areas. At a = 0.05, can you conclude that the mean salary is different in at least one of the areas? (Adapted from Salary.com) Boston Houston Los Angeles Phoenix Seattle Virginia Beach 65,702 50,500 58,055 61,314 63,698 76,750 60,095 56,237 68,451 59,400 64,917 86,660 71,458 53,913 69,700 56,359 58,756 55,650 58,842 66,603 59,766 60,046 56,488 70,850 84,477 62,818 70,970 65,200 69,756 73,170 51,511 56,066 60,000 58,945 50,111 62,109 Northeast Midwest South West 61.7 61.6 61.0 64.0 63.6 61.8 60.8 63.0 62.6 61.4 63.1 63.5 61.8 63.2 62.3 63.2 62.1 61.7 60.5 61.8 63.5 62.9 62.0 62.6 62.9 61.3 62.5 63.7 60.5 62.8 62.3 62.5 61.5 63.1
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