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 At the 10% significance level, which of the following is the correct conclusion? Do not reject H0. We conclude that the variance of wait time during morning peak hours differs from that during the evening peak hours. Reject H0. We conclude that the variance of wait time during morning peak hours differs from that during the evening peak hours. Do not reject H0. We cannot conclude that the variance of wait time during morning peak hours differs from that during the evening peak hours. Reject H0. We cannot conclude that the variance of wait time during morning peak hours differs from that during the evening peak hours.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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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 At the 10% significance level, which of the following is the correct conclusion?

Do not reject H₀. We conclude that the variance of wait time during morning peak hours differs from that during the evening peak hours.
Reject H₀. We conclude that the variance of wait time during morning peak hours differs from that during the evening peak hours.
Do not reject H₀. We cannot conclude that the variance of wait time during morning peak hours differs from that during the evening peak hours.
Reject H₀. We cannot conclude that the variance of wait time during morning peak hours differs from that during the evening peak 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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