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Homework 6

June 18 @ 10PM

(15 points)

The time required for 50 different employees to compute and record the number of hours worked during the week was measured, with the following results in minutes:

Employee	Time		Employee	Time
	(minutes)			(minutes)
1	1.88		26	0.04
2	0.54		27	1.49
3	1.90		28	0.66
4	0.15		29	2.03
5	0.02		30	1.00
6	2.81		31	0.39
7	1.50		32	0.34
8	0.53		33	0.01
9	2.62		34	0.10
10	2.67		35	1.10
11	3.53		36	0.24
12	0.53		37	0.26
13	1.80		38	0.45
14	0.79		39	0.17
15	0.21		40	4.29
16	0.8		41	0.8
17	0.26		42	5.5
18	0.63		43	4.91
19	0.36		44	0.35
20	2.03		45	0.36
21	1.42		46	0.9
22	1.28		47	1.03
23	0.82		48	1.73
24	2.16		49	0.38
25	0.05		50	0.48

Use the K-S Goodness of fit t-est to test the hypothesis that these service times are exponentially distributed. Use the level of significance α = 0.05.