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
|
|
42.4
|
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
|
37.7
|
|
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
|
|
19,700
|
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
|
|
1
|
3.05
|
3.08
|
3.07
|
3.11
|
3.11
|
|
2
|
3.13
|
3.07
|
3.05
|
3.10
|
3.10
|
|
3
|
3.06
|
3.04
|
3.12
|
3.11
|
3.10
|
|
4
|
3.09
|
3.08
|
3.09
|
3.09
|
3.07
|
|
5
|
3.10
|
3.06
|
3.06
|
3.07
|
3.08
|
|
6
|
3.08
|
3.10
|
3.13
|
3.03
|
3.06
|
|
7
|
3.06
|
3.06
|
3.08
|
3.10
|
3.08
|
|
8
|
3.11
|
3.08
|
3.07
|
3.07
|
3.07
|
|
9
|
3.09
|
3.09
|
3.08
|
3.07
|
3.09
|
|
10
|
3.06
|
3.11
|
3.07
|
3.09
|
3.07
|