2. Student pricing at the movie theater is a common example of third degree price

discrimination. What is it about students, as compared to everyone else, that makes

movie theaters want or need to charge them a lower price? Why is it important for

movie theaters to make students show their IDs? Additionally, suppose a student could

buy as many tickets as they wanted with their ID. How might that limit the theater’s

ability to charge two drastically different prices for students and non-students?

In a home theater system, the probability that the video components need repair within 1 year is 0.02, the probability that the electronic components need repair within 1 year is 0.005, and the probability that the audio components need repair within 1 year is 0.004. Assuming that the events are independent, find the following probabilities. (Round your answers to four decimal places.)

(a) At least one of these components will need repair within 1 year


(b) Exactly one of these component will need repair within 1 year

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 50 home theater systems has a mean price of ​$149.00. Assume the population standard deviation is ​$18.70.

Construct a​ 90% confidence interval for the population mean. The​ 90% confidence interval is ​( _____​, ______​). ​(Round to two decimal places as​ needed.)

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.

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.

The theater of the city of Mayaguez has a popular concert in schedule and has decided to sells tickets by phone. For that, it needs to decide how many operators to hire for the sale. On one hand, it doesn't want the customers to wait too long, but on the other hand the operators are expensive. The data the manager has collected from previous concerts is as follows.

Operators Wait Time

4 385

5    335

6 383

7 344

8 288

Specifically, we want to find whether there is a significant linear correlation between the variables.

In this case, if management wants a lower waiting time, it would to need to have:

The theater of the city of Mayaguez has a popular concert in schedule and has decided to sells tickets by phone. For that, it needs to decide how many operators to hire for the sale. On one hand, it doesn't want the customers to wait too long, but on the other hand the operators are expensive. The data the manager has collected from previous concerts is as follows.

Specifically, we want to find whether there is a significant linear correlation between the variables

The new manager of a theater plans to offer discounts to increase the number of tickets sold for shows on Monday and Tuesday evenings. She uses a sample of 30 weeks to record the number of tickets sold on these two days. A portion of the data is shown in the accompanying table.  

a) Using excel Produce a 95% CI for the mean number of tickets sold for shows on Monday evening, using the format discussed in class. The dataset descriptions for this question may be inadequate. As you answer this question 'warn" about important missing information in your conditions assessment. Once you have completed your conditions assessment clearly list any assumptions that need to be made. After you list the required assumptions – if any - presume that everything is OK, and answer the rest of the question.

b) Is there any evidence that the population mean differs from 200 for shows on Monday evenings?

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. (Round your answers up to the nearest whole number.)

(a)

If we want to estimate the population mean time for previews at movie theaters with a margin of error of 105 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.