Business Economics/Statics

Complete #11 (p. 820)

The median annual income for college graduates with a bachelor’s degree is $37,700 (The New York Times Almanac, 2006). Data (in the 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

#25 (p. 833). 

The National Association of Home Builders provided data on the most of the most popular home remodeling projects. Use the Mann-Whitney-Wilcoxon 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

Complete #20 (p. 877)

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?                                                                       observations

sample                        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