In: Statistics and Probability
Question 1:- A potential investor collected attendance data over a period of 49 days at the North Mall and South Mall theaters in order to determine the difference between the average daily attendances. The North Mall Theater averaged 720 patrons per day with a variance of 100, while the South Mall Theater averaged 700 patrons per day with a variance of 96. Develop an interval estimate for the difference between the average daily attendances at the two theaters. Use a confidence coefficient of 0.95.
Question 2:-Zip, Inc. manufactures Zip drives on two different manufacturing processes. Because the management of this company is interested in determining if process 1 takes less manufacturing time, they selected independent random samples from each process. The results of the samples are shown below. (20 points)
Process 1 Process 2
Sample size 27 22
Sample mean (in minutes) 10 14
Sample variance 16 25
Question 3:-
Shown below is a portion of computer output for a regression analysis relating to Y (dependent variable) and X (independent variable). (20 points)
ANOVA
df SS
Regression 1 115.064
Residual 13 82.936
Total
Coefficients Standard Error
Intercept 15.532 1.457
x -1.106 0.261
a. Perform a t-test using the p-value approach and determine whether x and y are related. Let α = .05.
b. Using the p-value approach, perform an F test, and determine whether x and y are related.
c. Compute the coefficient of determination and fully interpret its meaning. Be specific.