The Table below shows data of two random samples of employee wages taken from two small...

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Statistics

The Table below shows data of two random samples of employeewages taken from two small business firms providing the sameservice. The issue to be evaluated is whether the average wage inthese two firms is the same. Test this hypothesis at Î± =0.05.
Values of Test-Statistics, zo, critical statistic are ?? and thedecision is to ....
Wages from two small business firms
Observation #
Wages in Firm A ($)
Wages in Firm B ($)
Observation #
Wages in Firm A ($)
Wages in
Firm B ($)
1
29363
34035
19
39034
35606
2
39535
31466
20
33363
33632
3
38587
31027
21
29784
37682
4
36103
29679
22
29864
35320
5
34304
38730
23
34093
29587
6
43698
33258
24
39914
30293
7
32119
33979
25
40139
29658
8
37081
32870
26
22099
30544
9
40069
33578
27
37759
36973
10
44344
33946
28
35928
32826
11
36377
28985
29
36832
37557
12
43284
33640
30
30786
25704
13
43229
35110
31
33870
29079
14
29988
34993
32
35884
32816
15
32308
31458
33
40703
30827
16
37747
32321
34
28414
31136
17
32830
30939
35
30870
34792
18
26695
31492
36
34301
34860
2.578, 1.96, Reject that mu (wage-Firm A) = mu (wage-FirmB).
2.578, 1.96, Reject that mu (wage-Firm A) > mu (wage-FirmB).Â Â
2.008, 2.58, Fail to Reject that mu (wage-Firm A) = mu(wage-Firm B).Â Â
None of the above

Answer & Explanation Solved by verified expert

3.8 Ratings (386 Votes)

SolutionThe table given shows dataof two random samples of employee wages taken from two smallbusiness firms providing the same service The issue to beevaluated is whether the average wage in these two firms is thesame Test See Answer

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Observation #	Wages in Firm A ($)	Wages in Firm B ($)	Observation #	Wages in Firm A ($)	Wages in Firm B ($)
1	29363	34035	19	39034	35606
2	39535	31466	20	33363	33632
3	38587	31027	21	29784	37682
4	36103	29679	22	29864	35320
5	34304	38730	23	34093	29587
6	43698	33258	24	39914	30293
7	32119	33979	25	40139	29658
8	37081	32870	26	22099	30544
9	40069	33578	27	37759	36973
10	44344	33946	28	35928	32826
11	36377	28985	29	36832	37557
12	43284	33640	30	30786	25704
13	43229	35110	31	33870	29079
14	29988	34993	32	35884	32816
15	32308	31458	33	40703	30827
16	37747	32321	34	28414	31136
17	32830	30939	35	30870	34792
18	26695	31492	36	34301	34860

		2.578, 1.96, Reject that mu (wage-Firm A) = mu (wage-FirmB).
		2.578, 1.96, Reject that mu (wage-Firm A) > mu (wage-FirmB).Â Â
		2.008, 2.58, Fail to Reject that mu (wage-Firm A) = mu(wage-Firm B).Â Â
		None of the above