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

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Problem 1: The average Saturday attendance at a movie theater is 974 people with a standard...
Problem 1: The average Saturday attendance at a movie theater is 974 people with a standard deviation of 54 people. Part A: What is the probability that less than 900 people will attend this coming Saturday? Part B: What is the probability of between 875 and 1075 people will attend this Saturday? Part C: Eighty percent of Saturday attendances will be less than how many people? Part D: The movie theater manager wants to determine a staffing level such that...
Movie Theater Attendance The data shown are the weekly admissions, in millions, of people attending movie...
Movie Theater Attendance The data shown are the weekly admissions, in millions, of people attending movie theaters over three different time periods. At α = 0.05, is there a difference in the means for the weekly attendance for these time periods? Use the traditional method of hypothesis testing unless otherwise specified. a. State the hypotheses and identify the claim. b. Find the critical value. c. Compute the test value. d. Make the decision. e. Summarize the results. 1950–1974 1975–1990 1991–2000...
A movie theater company wants to see if there is a difference in the average movie...
A movie theater company wants to see if there is a difference in the average movie ticket sales in San Diego and Portland per week. They sample 20 sales from San Diego and 20 sales from Portland over a week. Test the claim using a 5% level of significance. Assume the variances are unequal and that movie sales are normally distributed. San Diego Portland 234 211 221 214 202 228 214 222 228 218 244 216 182 222 245 220...
A movie theater company wants to see if there is a difference in the average movie...
A movie theater company wants to see if there is a difference in the average movie ticket sales in San Diego and Portland per week. They sample 20 sales from San Diego and 20 sales from Portland over a week. Test the claim using a 5% level of significance. Assume the variances are unequal and that movie sales are normally distributed. Choose the correct decision and summary based on the p-value. A. Do not reject H0. There is evidence that...
A movie theater company wants to see if there is a difference in the average movie...
A movie theater company wants to see if there is a difference in the average movie ticket sales in San Diego and Portland per week. They sample 20 sales from San Diego and 20 sales from Portland over a week. Test the claim using a 5% level of significance. Assume the variances are unequal and that movie sales are normally distributed. San Diego Portland 234 211 221 214 202 228 214 222 228 218 244 216 182 222 245 220...
Problem #4 – Logical Operators: Movie Ticket Price The local movie theater in town has a...
Problem #4 – Logical Operators: Movie Ticket Price The local movie theater in town has a ticket price of $12.00. But, if you are a senior (55 and older), or are under 10, or are seeing a matinee which screens from 3 pm to 5 pm, you get the discounted price of $7.00, nice! Hint 1: "55 and older" is INCLUSIVE Hint 2: under 10 is EXCLUSIVE Hint 3: the range 3 to 5 is INCLUSIVE Hint 4: limit 1...
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....
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?
Think about the last movie you saw in a movie theater. What aspects of the movie...
Think about the last movie you saw in a movie theater. What aspects of the movie had international components in it? Are there more international elements included than compared to your favorite movie from 10 years ago?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT