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1. The median annual income for college graduates with a bachelor's degree is $37,700 (The New York Times Almanac, 2006). Data (in thousands of dollars) for a sample of college graduates with a bachelor's degree working in the Chicago area are shown. Use the sample data to test H0: median ≤ 37.7 and Ha: median > 37.7 for the population of college graduates with a bachelor's degree working in the Chicago area. Use a .05 level of significance. What is your conclusion?
47.8
41.7
31.4
56.9
55.2
47.2
42.6
105.3
38.8
30.0
55.5
127.8
73.7
25.2
68.4
41.2
45.7
37.7
30.4
91.1
21.3
42.4
61.2
23.8
34.1
25.0
43.2
36.2
76.7
51.9
25.3
39.3
65.0
38.0
32.8
24.4
69.0
25.1
48.7
30.2
60.6
43.4
34.9
38.5
31.1
91.0
23.6
56.1
2. The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Use the Mann-Whitney-Whitney test to see whether it can be concluded that the cost of kitchen remodeling differs from the cost of master bedroom remodeling. Use a .05 level of significance.
Kitchen
Bedroom
25,200
18,000
17,400
22,900
22,800
26,400
21,900
24,800
19,700
26,900
23,000
17,800
24,600
16,900
21,000
21,800
23,600
3. The following were collected for the Master Blend Coffee production process. The data show the filling weights based on samples of 3-pound cans of coffee. Use these data to construct the x- and R charts. What conclusions can be made about the quality of the production process?
Sample
Observations
1
2
3
4
5
3.05
3.08
3.07
3.11
3.13
3.10
3.06
3.04
3.12
3.09
6
3.03
7
8
9
10
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