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Mike manages a theater complex called Cinema I, II, III and IV. Each of the four auditoriums plays a different film; the starting times are staggered to avoid the large crowds. The Cinema has one ticket booth and a cashier who can maintain an average service rate of 280 patrons per hour. Service times are assumed to follow an exponential distribution. Arrivals on a typical activity day are Poisson distributed and average 210 per hour.
To determine the efficiency of the current ticket operation, Mike wishes to examine several queue operating characteristics.
a. Find the average number of moviegoers waiting in line to purchase a ticket.
b. What percentage of time is the cashier busy?
c. What is the average time the customer spends in the system?
d. What is the average time waiting in line to get to the ticket booth?
Find out the p-value associated with test of hypothesis you conducted?
What sample size would be required to obtain the error of ±10 square millimeters with 99 percent confidence?
Consider the following stemplot. The mean of the data represented in this stemplot ?
This model is fit to the data using the method of least squares using statistical software, and the following parameter estimates and their standard errors are obtained.
the maximum point total for the quarter was 200. The point totals for the 10 students are given in the stemplot below. For the density curve displayed below, which of the following is true?
Would it be reasonable to conclude that the population distribution is Poisson with a mean of 2.0?
Then test to see whether it considerably varies from 0 [use alpha = 5%]. Don't forget to identify the null and alternative hypotheses.
The casino game craps is based on rolling two dice. Here is the assignment of probabilities to the sum of numbers on the up face when two dice are rolled:
Using the .05 significance level, can we conclude that there is a positive association between the two variables?
Determine if there is a linear correlation between annual income and the amount of insurance? What is the linear regression line for this data?
Complete the ANOVA table. Carry out a test of hypothesis on each of regression coefficients. Could you delete any of the variables?
She wants to be 90% confident and be accurate within 5% of the true proportion. Find out the minimum sample size necessary.
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