Question

Suppose that a local chapter of sales professionals in the greater San Francisco area con- ducted...

Suppose that a local chapter of sales professionals in the greater San Francisco area con- ducted 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 120 observations, is contained in the file named “SalesSalary”.

Develop a 95% confidence interval estimate of the mean annual salary for all salespersons, regardless of years of experience and type of position.Use descriptive statistics to summarize the data.

Develop a 95% confidence interval estimate of the mean salary for inside salespersons.

Develop a 95% confidence interval estimate of the mean salary for outside salespersons.

Use analysis of variance to test for any significant differences in Salary due to position. Use a 0.05 level of significance, and for now, ignore the effect of years of experience.

USING EXCEL NOT MINITAB!!! It won't let me post the excel file so let me know how to send that.

HW #2 Salary ($) Position Experience
1 53938 Inside Medium
2 52694 Inside Medium
3 70515 Outside Low
4 52031 Inside Medium
5 62283 Outside Low
6 57718 Inside Low
7 79081 Outside High
8 48621 Inside Low
9 72835 Outside High
10 54768 Inside Medium
11 52282 Inside Medium
12 55632 Inside Low
13 63856 Outside Low
14 51827 Inside Medium
15 51948 Inside Low
16 56588 Inside Medium
17 68858 Outside Low
18 63478 Outside Low
19 83846 Outside Medium
20 59253 Inside High
21 53464 Inside Low
22 83176 Outside Medium
23 60949 Inside High
24 52833 Inside Low
25 72914 Outside High
26 83040 Outside Medium
27 64288 Outside Low
28 64562 Inside High
29 52644 Inside High
30 55959 Inside Low
31 88730 Outside Medium
32 77683 Outside Medium
33 56339 Inside High
34 71345 Outside Low
35 63799 Inside Low
36 78074 Outside High
37 65546 Outside Low
38 59057 Inside Medium
39 66024 Outside Low
40 59457 Inside High
41 79383 Outside Medium
42 61128 Outside Low
43 54122 Inside Low
44 78710 Outside High
45 58814 Inside Low
46 59276 Inside Low
47 75869 Outside Medium
48 57549 Inside Medium
49 76762 Outside Medium
50 60993 Outside Low
51 63362 Inside Medium
52 53231 Inside High
53 62115 Inside High
54 56080 Inside Medium
55 53392 Inside Medium
56 61299 Outside Low
57 53894 Inside High
58 82794 Outside Medium
59 56990 Inside Low
60 77403 Outside High
61 78936 Outside High
62 54282 Inside Medium
63 78850 Outside Medium
64 54592 Inside High
65 56461 Inside Low
66 74389 Outside High
67 49422 Inside Low
68 86692 Outside Medium
69 77356 Outside High
70 58055 Inside Medium
71 77820 Outside High
72 77801 Outside High
73 58053 Inside Medium
74 78169 Outside Medium
75 68560 Outside Low
76 66320 Outside High
77 67237 Outside Low
78 62225 Outside Low
79 58866 Inside High
80 77311 Outside High
81 76863 Outside High
82 81750 Outside Medium
83 58749 Inside High
84 52638 Inside Medium
85 62675 Inside Medium
86 51027 Inside High
87 62881 Outside Low
88 75791 Outside High
89 61680 Outside Low
90 59768 Inside High
91 56568 Inside High
92 82622 Outside Medium
93 75326 Outside High
94 57719 Inside High
95 57366 Inside High
96 57670 Inside Low
97 52072 Inside Low
98 68569 Outside High
99 81526 Outside Medium
100 82059 Outside Medium
101 74374 Outside High
102 51119 Inside Low
103 80696 Outside Medium
104 56352 Inside Low
105 77622 Outside High
106 69142 Outside Low
107 67603 Outside High
108 60561 Outside Low
109 51246 Inside Medium
110 54891 Inside Low
111 87090 Outside Medium
112 55482 Inside High
113 53464 Inside Low
114 58568 Inside Medium
115 58080 Inside High
116 78702 Outside Medium
117 83131 Outside Medium
118 57788 Inside High
119 53070 Inside Medium
120 60259 Outside Low

Homework Answers

Answer #1
Mean= 64925.48
Std.dev= 10838.67

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
High 40 2653547 66338.68 94080544
Low 40 2392785 59819.63 36060691
Medium 40 2744725 68618.13 1.86E+08
ANOVA
Source of Variation SS df MS F P-value F crit
Treatments 1668100099 2 8.34E+08 7.926144 0.000591 3.073763
Error 12311642893 117 1.05E+08
Total 13979742992 119

As, F>F(critical), we can infer that there is significant differences in salary due to various experiences.

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