Marvel Studio's motion picture Guardians of the Galaxy opened over the first two days of the 2014 Labor Day weekend to a record-breaking $94.3 million in ticket sales revenue in North America (the Hollywood reporter, August 3, 2014). The ticket sales revenue in dollars for a sample of 30 theaters is as follows.
a. What is the 95% confidence interval estimate for the mean ticket sales revenue per theater? Interpret this result.
b. Using the movie ticket price of $8.11 per ticket, what is the estimate of the mean number of customers per theater?
c. The movie was shown in 4080 theaters. Estimate the total number of customers who saw Guardians of the Galaxy and the total box office ticket sales for the weekend.