part (a)
Open the "Union Status and Income. xlsx" file that is posted with the assignment. In order to test whether there is a difference in the variance of income between Union members and non-Union members, use Excel to carry out an "F-Test: Two-Sample for variances" with Alpha =0.05
part (b)
Still using the "Union Status and Income .xlsx" file, carry out a t-test in excel (with Alpha=0.05) that tests whether there is a difference in mean income between Union members and non-union members.
Note that the decision of which of the t-tests in excel is appropriate depends on your result from part (a)
Part (c)
Based on the t-test, what is your decision( "reject" or "do not reject") regarding the null hypothesis that the two population means are equal to each other? Indicate on which part of the Excel output you base your decision.
part (d)
Explain what your answer to part (c) means at a level that can be understood by a high school senior.
Annual Salary of Union Members |
44604 |
33199.5 |
28959 |
19977 |
19743 |
75256.5 |
38505 |
74961 |
34540.5 |
28128 |
50191.5 |
49179 |
68964 |
40230 |
50938.5 |
75256.5 |
38505 |
74961 |
Annual Salary of Non-Union Members |
125401.5 |
75352.5 |
32991 |
44085 |
26541 |
40192.5 |
29971.5 |
21714 |
29178 |
42252 |
37749 |
27181.5 |
48141 |
25000.5 |
47536.5 |
54267 |
22851 |
25225.5 |
33727.5 |
45462 |
17553 |
16779 |
18427.5 |
28926 |
17176.5 |
86434.5 |
125164.5 |
69969 |
47553 |
19968 |
66814.5 |
22519.5 |
50083.5 |
90939 |
36763.5 |
31278 |
45199.5 |
47698.5 |
25194 |
31189.5 |
44110.5 |
43786.5 |
23935.5 |
51726 |
52777.5 |
39921 |
62670 |
83665.5 |
22740 |
100107 |
50026.5 |
50247 |
44713.5 |
22789.5 |
112747.5 |
125353.5 |
48352.5 |
31278 |
20680.5 |
52119 |
26535 |
79143 |
90228 |
20221.5 |
14818.5 |
25183.5 |
46956 |
56656.5 |
75280.5 |
59832 |
28840.5 |
42660 |
50116.5 |
32574 |
56496 |
44965.5 |
17670 |
16495.5 |
26439 |
47536.5 |
54267 |
22851 |
25225.5 |
33727.5 |
45462 |
17553 |
16779 |
18427.5 |
28926 |
17176.5 |
86434.5 |
125164.5 |
69969 |
47553 |
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