Amie Jackson, a manager at Sigma travel services, makes every effort to ensure that customers attempting to make online reservations do not have to wait too long to complete the reservation process. The travel website is open for reservations 24 hours a day, and Amie regularly checks the website for the waiting time to maintain consistency in service. She uses the following independently drawn samples of wait time during two peak hours, morning 8 a.m. to 10 a.m. and evening 7 p.m. to 9 p.m., for the analysis. Assume that wait times are normally distributed. Wait Time (in seconds) Morning hours 8 a.m. to 10 a.m. 97 101 115 107 129 98 96 132 118 104 123 128 95 127 112 Evening hours 7 p.m. to 9 p.m. 95 92 89 90 102 96 85 81 84 100 97 80 98 79 99 A 90% confidence interval is found to be [1.19, 7.36], where the morning is the first group and the evening is the second group. Which of the following is the correct conclusion? Multiple Choice We can conclude the variance of the wait times for the evening hours is equal to the variance of the wait times for the morning hours. We can conclude the variance of the wait times for the morning hours is more than the variance of the wait times for the evening hours. We cannot conclude the variance of the wait times for the morning hours is different from the variance of the wait times for the evening hours. We can conclude the variance of the wait times for the evening hours is more than the variance of the wait times for the morning hours.
Amie Jackson, a manager at Sigma travel services, makes every effort to ensure that customers attempting to make online reservations do not have to wait too long to complete the reservation process. The travel website is open for reservations 24 hours a day, and Amie regularly checks the website for the waiting time to maintain consistency in service. She uses the following independently drawn samples of wait time during two peak hours, morning 8 a.m. to 10 a.m. and evening 7 p.m. to 9 p.m., for the analysis. Assume that wait times are normally distributed.
| Wait Time (in seconds) | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Morning hours 8 a.m. to 10 a.m. | 97 | 101 | 115 | 107 | 129 | 98 | 96 | 132 | 118 | 104 | 123 | 128 | 95 | 127 | 112 |
| Evening hours 7 p.m. to 9 p.m. | 95 | 92 | 89 | 90 | 102 | 96 | 85 | 81 | 84 | 100 | 97 | 80 | 98 | 79 | 99 |
A 90% confidence interval is found to be [1.19, 7.36], where the morning is the first group and the evening is the second group. Which of the following is the correct conclusion?
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We can conclude the variance of the wait times for the evening hours is equal to the variance of the wait times for the morning hours.
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We can conclude the variance of the wait times for the morning hours is more than the variance of the wait times for the evening hours.
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We cannot conclude the variance of the wait times for the morning hours is different from the variance of the wait times for the evening hours.
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We can conclude the variance of the wait times for the evening hours is more than the variance of the wait times for the morning hours.
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