Question

In: Statistics and Probability

Problem 2: The average Saturday attendance at a movie theater is 974 people with a standard...

Problem 2: The average Saturday attendance at a movie theater is 974 people with a standard deviation of 54 people. A random sample of 39 Saturdays is selected

Part A: What is the probability that a sample mean will be either less than 954 people or greater than 970 people?

Part B: There is a 97% chance that a sample mean will be above what attendance level?

Part C: What is the probability that more than 1000 people will attend the theater this Saturday?

Solutions

Expert Solution

It is given that The average Saturday attendance at a movie theater is 974 people with a standard deviation of 54 people.

That is . The distribution of the sample mean is

a)The probability that a sample mean will be either less than 954 people or greater than 970 people is

b) We need

c)The probability that more than 1000 people will attend the theater this Saturday is


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