Suppose that a local chapter of sales professionals in the greater San Francisco area conducted a survey of its membership to study the relationship, if any, between the years of experience and salary for individuals employed in inside and outside sales positions. On the survey, respondents were asked to specify one of three levels of years of experience: low (1–10 years), medium (11–20 years), and high (21 or more years). A portion of the data obtained follows. The complete data set, consisting of 60 observations, is given in the table below:
Observation Salary $ Position Experience
1 68840 Inside Medium
2 71188 Inside Low
3 83574 Outside Medium
4 76915 Inside Low
5 86504 Inside Low
6 66449 Outside High
7 46257 Inside Low
8 79090 Outside High
9 89195 Outside Medium
10 89099 Inside Low
11 54856 Inside High
12 80389 Inside Medium
13 48850 Outside High
14 49120 Inside Low
15 62780 Inside Medium
16 77232 Outside High
17 58186 Inside High
18 47610 Outside Medium
19 48692 Outside High
20 46129 Inside Medium
21 69213 Inside Low
22 41484 Inside Low
23 58405 Outside Low
24 51692 Inside High
25 53836 Inside Low
26 80006 Outside Medium
27 47035 Inside High
28 47199 Outside Low
29 59188 Outside Medium
30 85752 Inside High
31 67229 Inside Low
32 62333 Inside Medium
33 86193 Outside Low
34 87046 Inside Low
35 83392 Inside Medium
36 86893 Inside Medium
37 65195 Inside Low
38 86410 Outside Low
39 61602 Inside High
40 63083 Inside Medium
41 55876 Outside Low
42 54319 Outside Low
43 59456 Inside Medium
44 64951 Inside Medium
45 80736 Outside Low
46 87145 Inside High
47 62478 Inside Medium
48 46823 Outside Low
49 69142 Inside Low
50 55756 Outside Low
51 45866 Outside High
52 79029 Inside Low
53 61448 Inside Medium
54 58266 Outside High
55 87601 Inside High
56 61384 Inside Low
57 54986 Outside Low
58 41016 Outside High
59 79624 Inside Medium
60 87145 Inside High
Report
1. Use descriptive statistics to summarize the data.
2. At the α = 0.05 level of significance, test for any significant differences due to position, years of experience, and interaction. Also, include the reason for selecting the test.