A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening. Two independent samples of 23 weeks are collected for Tuesday and Wednesday. The mean attendance on Tuesday evening is calculated as 5,450, while the mean attendance on Wednesday evening is calculated as 5,880. The known population standard deviation for attendance on Tuesday evening is 510 and the known population standard deviation for attendance on Wednesday evening is 490. Which of the following is the appropriate conclusion at the 5% level of significance? Multiple Choice We cannot conclude that the mean attendance differs because the p-value = 0.0035 < 0.05. We cannot conclude that the mean attendance differs because the p-value = 0.0018 < 0.05. We can conclude that the mean attendance differs because the p-value = 0.0035 < 0.05. We can conclude that the mean attendance differs because the p-value = 0.0018 < 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on
Wednesday evening. Two independent samples of 23 weeks are collected for Tuesday and Wednesday. The mean attendance on Tuesday evening is
calculated as 5,450, while the mean attendance on Wednesday evening is calculated as 5,880. The known population standard deviation for attendance
on Tuesday evening is 510 and the known population standard deviation for attendance on Wednesday evening is 490. Which of the following is the
appropriate conclusion at the 5% level of significance?
Multiple Choice
We cannot conclude that the mean attendance differs because the p-value = 0.0035 < 0.05.
We cannot conclude that the mean attendance differs because the p-value = 0.0018 < 0.05.
We can conclude that the mean attendance differs because the p-value = 0.0035 < 0.05.
We can conclude that the mean attendance differs because the p-value = 0.0018 < 0.05.
Transcribed Image Text:A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening. Two independent samples of 23 weeks are collected for Tuesday and Wednesday. The mean attendance on Tuesday evening is calculated as 5,450, while the mean attendance on Wednesday evening is calculated as 5,880. The known population standard deviation for attendance on Tuesday evening is 510 and the known population standard deviation for attendance on Wednesday evening is 490. Which of the following is the appropriate conclusion at the 5% level of significance? Multiple Choice We cannot conclude that the mean attendance differs because the p-value = 0.0035 < 0.05. We cannot conclude that the mean attendance differs because the p-value = 0.0018 < 0.05. We can conclude that the mean attendance differs because the p-value = 0.0035 < 0.05. We can conclude that the mean attendance differs because the p-value = 0.0018 < 0.05.
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