Question

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

1. State the null and alternative hypotheses.

2. Determine the degrees of freedom for the t-test.

3. Compute the test statistic

4. At 95% confidence, test to determine if there is sufficient evidence to indicate that process 1 takes a significantly shorter time to manufacture the Zip drives.

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.

Answer 1

by mistakely i'm return here t(0.05/2,47)==t(0.05,47)