Question

Call centers typically have high turnover. The director of human resources for a large bank has compiled data on about 70 former employees at one of the bank�s call centers in the Excel file Call Center Data . In writing an article about call center working conditions, a reporter has claimed that the average tenure is no more than two years. Formulate and test a hypothesis using these data to determine if this claim can be disputed.

Call Center Data
Male = 1 Female = 0		Yes = 1 No = 0	Yes = 1 No = 0
Gender	Starting Age	Prior Call Center Experience	College Degree	Length of Service (years)
0	18	0	0	7.02
1	18	1	0	3.47
0	19	0	0	2.07
0	19	0	0	1.78
0	19	0	0	4.42
0	19	0	0	3.29
0	19	1	0	3.05
1	19	1	0	0.49
1	19	1	0	0.61
1	19	0	0	3.12
0	20	0	0	2.95
0	20	1	0	2.15
0	20	0	0	4.03
1	20	0	0	3.53
1	20	0	0	2.47
0	21	0	0	2.15
1	21	0	0	3.27
1	21	0	0	1.10
1	21	0	0	1.78
0	22	0	0	1.94
0	22	1	0	2.91
0	23	1	0	3.02
0	23	1	0	2.53
0	23	0	1	1.84
1	23	1	0	2.88
1	23	0	0	2.20
1	23	0	1	1.44
1	24	0	0	2.53
1	24	0	1	1.41
1	24	0	1	1.08
0	25	1	1	0.98
1	25	1	0	0.63
1	25	0	1	1.30
1	25	1	1	2.13
0	26	1	0	2.30
0	26	1	1	2.05
0	26	1	1	2.13
1	26	1	1	2.12
1	26	0	1	2.16
1	27	0	0	2.04
0	28	0	0	1.70
0	28	0	1	2.11
1	29	0	1	1.75
0	30	0	1	2.15
1	30	1	0	2.12
1	30	0	1	0.37
0	31	0	0	1.95
0	31	0	0	1.02
0	31	0	1	1.26
1	31	0	0	1.04
0	32	0	1	1.64
1	32	1	0	1.75
1	32	1	1	1.71
1	33	0	0	1.29
0	34	1	0	1.48
0	34	0	1	1.31
1	34	0	0	1.46
1	34	1	0	1.88
1	36	0	1	1.16
0	39	0	0	1.16
0	39	0	1	1.05
1	39	0	0	0.96
0	40	1	0	1.24
0	40	0	0	0.81
1	41	1	0	0.87
0	43	1	0	0.99
0	43	1	0	0.76
0	45	0	0	0.32
0	47	1	1	0.35
0	50	1	0	0.57

Answer 1

We have to test weather  average tenure is no more than two years.

Let us suppose the hypothesis

Average Tenure (length of service) is more than 2 years

years

Average Tenure (length of service) is no more than 2 years

years (Left hand Tail)

Total number of observations n=70

mean length of service years

Standard deviation of length of service=s=1.098

The test stastic to test the hypothesis is given as

P value of test will be

P(T<-0.81)=0.211

Because p value is very high >0.05

We will fail to reject null hypothesis

We conclude that there is not sufficient evidence to support the claim that average tenure is no more than 2 years