Question

In: Statistics and Probability

Customers arrive at a movie theater at the advertised movie time only to find that they...

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was four minutes. Use that as a planning value for the standard deviation in answering the following questions.

a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 69 seconds, what sample size should be used? Assume 95% confidence.

b. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used? Assume 95% confidence.

Solutions

Expert Solution


Related Solutions

Customers arrive at a movie theater at the advertised movie time only to find that they...
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was four minutes. Use that as a planning value for the standard deviation in answering the following questions....
Customers arrive at a movie theater at the advertised movie time only to find that they...
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and pre-preview ads before the movie starts. Many complain that the time devoted to previews is too long.† A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 6 minutes. Use that as a planning value for the standard deviation in answering the following questions....
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and pre-preview ads before the movie starts.
  Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and pre-preview ads before the movie starts. Many complain that the time devoted to previews is too long.† A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 6 minutes. Use that as a planning value for the standard deviation in answering the following...
An usher at a movie theater claims no more than half of all movie theater customers...
An usher at a movie theater claims no more than half of all movie theater customers buy something at the refreshment stand. To test the claim, the usher observes a random sample of 80 people and finds that 47 of them buy something. a) What is the Null Hypothesis and the Alternative Hypothesis for the usher's claim? b) If we use a 0.01 significance level, what is the critical value for the test? c) Calculate the value of the test...
QuadPlex Cinema is the only movie theater in Idaho Falls. The nearest rival movie theater, the...
QuadPlex Cinema is the only movie theater in Idaho Falls. The nearest rival movie theater, the Cedar Bluff Twin, is 35 miles away in Pocatello. Thus QuadPlex Cinema possesses a degree of market power. Despite having market power, QuadPlex Cinema is currently suffering losses. In a conversation with the owners of QuadPlex, the manager of the movie theater made the following suggestions: “Since QuadPlex is a local monopoly, we should just increase ticket prices until we make enough profit.” a....
The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of...
The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 80 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers’ parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don’t get in until after the feature has started.) a. What is the average customer time in the system? (Round your answer to 2 decimal places.) b. What would be...
The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of...
The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 100 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers' parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don't get in until after the feature has started.) a. What is the average customer time in the system? b. What would be the effect on customer time in the...
The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of...
The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 80 per hour. The ticket seller averages 36 seconds per customer, which includes placing validation stamps on customers’ parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don’t get in until after the feature has started.) (Use the Excel spreadsheet Queue Models.) a. What is the average customer time in the system? (Round your answer to 2...
A random group of thirty customers at a local theater was interviewed regarding their movie viewing habits.
A random group of thirty customers at a local theater was interviewed regarding their movie viewing habits. The following responses were obtained for the question, “How many times during the past month did you go to the movies?” Number of movies attended 0 1 2 3 4 Number of customers 3 10 8 6 3 a. b. Find the probability that a customer selected at random went to the movies: 1) more than one time, 2) two times, 3) at...
A movie theater manager believes the average amount of money customers spend on snacks is over...
A movie theater manager believes the average amount of money customers spend on snacks is over $15. To test the claim, a theater employee tracks the spending of 25 randomly selected customers. The sample mean is $17.08 with a sample standard deviation of $4.81. a) What is the Null Hypothesis and the Alternative Hypothesis for the manager’s claim? b) Assuming the population is normal, should we use the Normal z-test or the Student’s t-test?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT