The TriCity Office Equipment Corporation sells an imported copier on a franchise
ID: 3048341 • Letter: T
Question
The TriCity Office Equipment Corporation sells an imported copier on a franchise basis and performs preventive maintenance and repair service on this copier. There are 45 recent calls on users to perform routine preventive maintenance service, for each call, X is the number of copiers serviced and Y is the total number of minutes spent by the service person.
A.Set up the ANOVA table. Conduct an Ftest to determine whether or not there is a linear association between time spent and number of copiers serviced, use a=0.10.State the alternative, decision rule and conclusion.
B.By how much, relatively, is the total variation in number of minutes spent on a call reduced when the number of copiers serviced introduce into the analysis? Is this a relatively small or large reduction? What is the name of this measure?
Y X
20 2
60 4
46 3
41 2
12 1
137 10
68 5
89 5
4 1
32 2
144 9
156 10
93 6
36 3
72 4
100 8
105 7
131 8
127 10
57 4
66 5
101 7
109 7
74 5
134 9
112 7
18 2
73 5
111 7
96 6
123 8
90 5
20 2
28 2
3 1
57 4
86 5
132 9
112 7
27 1
131 9
34 2
27 2
61 4
77 5
Explanation / Answer
Solution :
ddt <- read.csv('dtt.csv',header = T,sep = ',')
#conduct a anova test
dfit <- aov(dtt$Y ~ dtt$X, data=dtt)
Calculating the F statistics
var.test(dtt$Y,dtt$X,data=dtt, alternative = 'two.sided')
The P value of the F statistics is close to 0, Thus we reject the Null Hypothesis.
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