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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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