A customer comment phone line is staffed from 8:00 a.m. to 4:30 p.m. five days a
ID: 3260490 • Letter: A
Question
A customer comment phone line is staffed from 8:00 a.m. to 4:30 p.m. five days a week. Records are available that show the number of calls received every day for the last five weeks.
Week
Day
Number
Week
Day
Number
1
M
28
4
M
27
T
12
T
13
W
16
W
16
TH
15
TH
18
F
23
F
24
2
M
25
5
M
26
T
10
T
11
W
14
W
18
TH
14
TH
17
F
26
F
25
3
M
32
T
15
W
15
TH
13
F
21
Assuming that only a daily “seasonal” pattern exists with NO TREND, predict the five days of week 6.
a. M = 29.6, T = 12.4, W = 14.8, Th = 15.4, F = 23.8
b.M = 27.6, T = 13.2, W = 15.8, Th = 15.4, F = 25.8
c. M = 27.6, T = 12.2, W = 14.8, Th = 15.4, F = 23.8
d. M = 27.6, T = 12.2, W = 15.8, Th = 15.4, F = 23.8
e. M = 27.6, T = 12.4, W = 14.8, Th = 15.4, F = 23.8
Week
Day
Number
Week
Day
Number
1
M
28
4
M
27
T
12
T
13
W
16
W
16
TH
15
TH
18
F
23
F
24
2
M
25
5
M
26
T
10
T
11
W
14
W
18
TH
14
TH
17
F
26
F
25
3
M
32
T
15
W
15
TH
13
F
21
Explanation / Answer
Given, no trend exists, so number of calls on daily basis will remain constant.
Average of customer calls received on monday = (28+25+32+27+26)/5 = 27.6
Average of customer calls received on tuesday = (12+10+15+13+11)/5 = 12.2
Average of customer calls received on wednesday = (16+14+15+16+18)/5 = 15.8
Average of customer calls received on thursday = (15+14+13+18+17)/5 = 15.4
Average of customer calls received on friday = (23+26+21+24+25)/5 = 23.8
So, by moving average method, the prediction of week 6 is
M=27.6, T=12.2, W=15.8, TH=15.4, F= 23.8
So the correct answer is (d)
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