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. picture 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: o2 < 64; HA: o > 64 Ho: o2 = 64; HA: o z 64 Họ: 2 64; HA: ol < 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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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.
picture 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 :
o2
s 64; Нд: o* > 64
Но:
3 64; Нд: оt # 64
Ho: o 2 64; HA: 0² < 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. picture 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 : o2 s 64; Нд: o* > 64 Но: 3 64; Нд: оt # 64 Ho: o 2 64; HA: 0² < 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
Hourly Arrival
1
Rates
2
122
3
124
4
103
5
118
92
7
117
8
114
9
111
10
116
11
123
12
124
13
125
14
128
15
122
16
124
17
122
18
114
19
97
20
121
21
104
22
136
23
91
24
123
25
115
26
115
27
Transcribed Image Text:Hourly Arrival 1 Rates 2 122 3 124 4 103 5 118 92 7 117 8 114 9 111 10 116 11 123 12 124 13 125 14 128 15 122 16 124 17 122 18 114 19 97 20 121 21 104 22 136 23 91 24 123 25 115 26 115 27
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