The manager of a travel agency has been using a seasonally adjusted forecast to predict demand for packaged tours. The actual and predicted values are as follows:
Period DemandPredicted
1138 111
2194 200
3157 150
491 94
595 80
6132 144
7126 128
8127 124
995 96
10149 150
11104 94
1285 75
13120 140
14134 128
________________________________________
a.Compute MAD for the fifth period, then update it period by period using exponential smoothing with α = .1.(Round your intermediate calculations and final answers to 3 decimal places.)
t
PeriodA
Demand MADt
1138
2194
3157
491
595
6132
7126
8127
995
10149
11104
1285
13120
14134
________________________________________
b.Compute a tracking signal for periods 5 through 14 using the initial and updated MADs. (Negative values should be indicated by a minus sign. Round your intermediate calculations and final answers to 3 decimal places.)
t
PeriodA
DemandTracking
Signal
1138
2194
3157
491
595
6132
7126
8127
995
10149
11104
1285
13120
14134
________________________________________
Checkout time at a supermarket is monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed:
SampleMeanRangeSampleMeanRange
13.06.4243.13.46
23.15.4453.06.46
33.11.4163.09.45
________________________________________
Q 2,
Factors for three-sigma control limits for and R charts
FACTORS FOR R CHARTS
Number of Observations in Subgroup,
nFactor for
Chart,
A2Lower
Control Limit,
D3Upper
Control Limit,
D4
2 1.88 03.27
3 1.02 02.57
4 0.73 02.28
5 0.58 02.11
6 0.48 02.00
7 0.42 0.081.92
8 0.37 0.141.86
9 0.34 0.181.82
10 0.31 0.221.78
11 0.29 0.261.74
12 0.27 0.281.72
13 0.25 0.311.69
14 0.24 0.331.67
15 0.22 0.351.65
16 0.21 0.361.64
17 0.20 0.381.62
18 0.19 0.391.61
19 0.19 0.401.60
20 0.18 0.411.59
________________________________________
a.Using the factors in the above table, determine upper and lower limits for mean and range charts.(Round your intermediate calculations and final answers to 4 decimal places.)
Upper limit for mean
Lower limit for mean
Upper limit for range
Lower limit for range
_______________________________________
b.Is the process in control?
Yes
No
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