The director of a university’s career development center is interested in comparing the starting annual salaries of male and female…
The director of a university’s career development center is interested in comparing the starting annual salaries of male and female students who recently graduated from the university and commenced full-time employment. The director has formed pairs of male and female graduates with the same major and similar grade- point averages. Specifically, she has collected a random sample of 50 such pairs and has recorded the starting annual salary of each person. Data is provided in attached spreadsheet. Find a 95% confidence interval for the mean difference between similar male and female graduates of this university. Interpret your result.
>Source
This is fictitious data. ,1 , 9
,3 9
9
4
9
, 93
, 1
, 5
,8 1
$30,841 ,996
,737
5
5
4
7
Data
Pair
Male
Female
1
$2
9
4
8
$
29
3
6
2
$
28
5
$28,
38
3
$29,
46
$29,
36
4
$
24
7
$
25
17
5
$
27
42
$27,097
6
$24,174
$
23
48
7
$29,
30
$28,8
37
8
$24,2
19
$23,9
34
9
$30,8
41
10
$27,305
$
26
11
$28,853
$28,190
12
$29,274
$28,830
13
$29,696
$29,094
14
$
31
$31,
16
15
$25,972
$25,8
20
16
$26,5
22
$26,
18
17
$25,186
$24,8
21
18
$26,313
$26,036
19
$23,485
$22,821
20
$28,2
32
$28,160
21
$32,603
$32,625
22
$25,179
$25,081
23
$25,0
47
$24,959
24
$27,165
$26,341
25
$24,958
$24,596
26
$26,900
$26,669
27
$20,
40
$20,104
28
$30,999
$30,4
35
29
$27,469
$27,146
30
$26,651
$26,865
31
$29,986
$30,419
32
$24,377
$24,
43
33
$27,276
$26,851
34
$26,602
$26,178
35
$25,813
$25,373
36
$27,460
$26,869
37
$26,814
$26,577
38
$25,148
$25,214
39
$27,643
$27,579
40
$29,752
$29,188
41
$30,414
$30,095
42
$25,795
$25,248
43
$27,9
44
$27,673
44
$26,661
$26,212
45
$31,351
$30,783
46
$29,303
$28,519
47
$28,628
$28,644
48
$24,524
$24,114
49
$27,217
$26,282
50
$21,651
$21,153