AMS communicates with customers who subscribe to cable television services throu
ID: 3223990 • Letter: A
Question
AMS communicates with customers who subscribe to cable television services through a special secured email system that sends messages about service changes, new features, and billing information to in-home digital set-top boxes for later display. To enhance customer service, the operations department established the business objective of reducing the amount of time to fully update each subscriber’s set of messages. The department selected two candidate messaging systems and conducted an experiment in which 30 randomly chosen cable subscribers were assigned one of the two systems (15 assigned to each system). Update times were measured.
Suppose now there were only 15 subscribers sampled and the update process for each subscriber email was measured for each of the two messaging systems with the same results in the Excel spreadsheet, making each row in the table a pair or values for an individual subscriber. Reanalyze the data of the using a paired-sample t test (mean differences). Once again use 0.05 significance.
Email Interface 1
Email Interface 2
4.13
3.71
3.75
3.89
3.93
4.22
3.74
4.57
3.36
4.24
3.85
3.90
3.26
4.09
3.73
4.05
4.06
4.07
3.33
3.80
3.96
4.36
3.57
4.38
3.13
3.49
3.68
3.57
3.63
4.74
Please show hand-work, not excel.
Email Interface 1
Email Interface 2
4.13
3.71
3.75
3.89
3.93
4.22
3.74
4.57
3.36
4.24
3.85
3.90
3.26
4.09
3.73
4.05
4.06
4.07
3.33
3.80
3.96
4.36
3.57
4.38
3.13
3.49
3.68
3.57
3.63
4.74
Please show hand-work, not excel.
Explanation / Answer
H0: D = 0
H1: D ¹ 0
D=EDi/n=0.398
S= (Di-D)^2/n-1=2.57204/14=0.4286
tSTAT=D-µ/S/n
=0.398-0/0.4286/15
=3.596
tCRIT with 14 degrees of freedom for 0.05 (0.025 on each side) is 2.1448. tSTAT>tCRIT and hence reject the null hypothesis.
Email Interface 1 Email Interface 2 Difference, Di (Di-D) (Di-D)^2 4.13 3.71 -0.42 -0.818 0.669124 3.75 3.89 0.14 -0.258 0.066564 3.93 4.22 0.29 -0.108 0.011664 3.74 4.57 0.83 0.432 0.186624 3.36 4.24 0.88 0.482 0.232324 3.85 3.9 0.05 -0.348 0.121104 3.26 4.09 0.83 0.432 0.186624 3.73 4.05 0.32 -0.078 0.006084 4.06 4.07 0.01 -0.388 0.150544 3.33 3.8 0.47 0.072 0.005184 3.96 4.36 0.4 0.002 4E-06 3.57 4.38 0.81 0.412 0.169744 3.13 3.49 0.36 -0.038 0.001444 3.68 3.57 -0.11 -0.508 0.258064 3.63 4.74 1.11 0.712 0.506944 Average Sum Sum 0.398 0 2.57204Related Questions
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