b. Calculate the value of the test statistic. Assume that customer arrival rates are normally distributed. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic

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Author:Amos Gilat
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Hourly Arrival
1
Rates
2
122
3
123
4
101
118
95
7
119
8
113
9
116
10
117
11
124
12
122
13
125
14
127
15
120
16
122
17
125
18
117
19
98
20
124
21
108
22
133
23
95
24
122
25
114
26
118
27
Transcribed Image Text:Hourly Arrival 1 Rates 2 122 3 123 4 101 118 95 7 119 8 113 9 116 10 117 11 124 12 122 13 125 14 127 15 120 16 122 17 125 18 117 19 98 20 124 21 108 22 133 23 95 24 122 25 114 26 118 27
For staffing purposes, a retail store manager would like to standardize the number of checkout lanes to keep open on a particular shift.
She believes that if the standard deviation of the hourly customer arrival rates is 8 customers or less, then a fixed number of checkout
lanes can be staffed without excessive customer waiting time or excessive clerk idle time. However, before determining how many
checkout lanes (and thus clerks) to use, she must verify that the standard deviation of the arrival rates does not exceed 8. Accordingly,
a sample of 25 hourly customer arrival rates was compiled for that shift over the past week.
Click here for the Excel Data File
a. Select the hypotheses to test whether the standard deviation of the customer arrival rates exceeds 8.
Ho:
f s 64; HA: o > 64
Ho:
2 = 64; HA:
2 + 64
Ho:
2 2 64; HA:
2< 64
b. Calculate the value of the test statistic. Assume that customer arrival rates are normally distributed. (Round intermediate
calculations to at least 4 decimal places and final answer to 3 decimal places.)
Test statistic
Transcribed Image Text:For staffing purposes, a retail store manager would like to standardize the number of checkout lanes to keep open on a particular shift. She believes that if the standard deviation of the hourly customer arrival rates is 8 customers or less, then a fixed number of checkout lanes can be staffed without excessive customer waiting time or excessive clerk idle time. However, before determining how many checkout lanes (and thus clerks) to use, she must verify that the standard deviation of the arrival rates does not exceed 8. Accordingly, a sample of 25 hourly customer arrival rates was compiled for that shift over the past week. Click here for the Excel Data File a. Select the hypotheses to test whether the standard deviation of the customer arrival rates exceeds 8. Ho: f s 64; HA: o > 64 Ho: 2 = 64; HA: 2 + 64 Ho: 2 2 64; HA: 2< 64 b. Calculate the value of the test statistic. Assume that customer arrival rates are normally distributed. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic
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