A 7,000-Seat Theater Is Interested in Determining Whether There Is

question 57

Multiple Choice

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 25 weeks are collected for Tuesday and Wednesday. The mean attendance on Tuesday evening is calculated as 5,500, while the mean attendance on Wednesday evening is calculated as 5,850. The known population standard deviation for attendance on Tuesday evening is 550 and the known population standard deviation for attendance on Wednesday evening is 445. Which of the following is the appropriate decision given a 5% level of significance?

• A) Conclude that the mean attendance differs because the p-value = 0.0067 < 0.05.
• B) Conclude that the mean attendance differs because the p-value = 0.0134 < 0.05.
• C) Do not conclude that the mean attendance differs because the p-value = 0.0067 < 0.05.
• D) Do not conclude that the mean attendance differs because the p-value = 0.0134 < 0.05.

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Definitions:

Female Employees

Women who are employed by an organization or company.

Male Employees

Refers to the segment of the workforce identified as male.

Mean Height

The average height calculated by summing all individual heights and dividing by the total number of individuals.

Confidence Interval

A range of values, derived from statistical analysis, that is likely to contain the value of an unknown population parameter.