An experimental surgical procedure is being studied as an alternative to the old method.Both methods are considered safe.Five surgeons perform the operation on two patients matched by age, sex, and other relevant factors, with the results shown below.The time to complete the surgery (in minutes) is recorded.At the .01 significance level, is the new way better?

Surgeon 1 Surgeon 2 Surgeon 3 Surgeon 4 Surgeon 5

Old way 36 55 38 40 62

New way 29 42 30 32 56

7. The variable of interest (x) in this problem is:

a. Surgeons

b. Surgical procedure

c. Time to complete surgery (in minutes)

d. New Way and Old Way

e. None of the above

8. The problem involves:

a. Comparing the proportions of two populations

b. Comparing the variances of two populations

c. Comparing the means of two dependent populations

d. Comparing the means of two independent populations

e. None of the above

9. If the difference in time to complete the surgery is computed as Old Way minus New Way, the appropriate pair of hypotheses is:

a. H0: 0 H1: 0

b. H0: 0 H1: 0

c. H0: 0 H1: 0

10. The appropriate decision rule is:

a. Reject H0 if t > t/2, n-1

b. Reject H0 ift>t, n-1

c. Reject H0 ift< - t, n-1

11. What is the computed statistic equal to? ___________

12. At 0.01 significance level, which of the following statements would be the most appropriate given the statistical result from the sample?

a. There is no difference in the average time to complete the surgery between the surgeons

b. There is a difference in the average time to complete the surgery between the surgeons

c. There is no difference in the average time to complete the surgery between the two surgical methods

d. There is a difference in the average time to complete the surgery between the two surgical methods - the new way is better

e. There is a difference in the average time to complete the surgery between the two surgical methods - the old way is better