The following were collected for the master blend coffee

Question

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 H_a: 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