Data from 12 robot swings of a 6-iron at 90 miles per hour yields a sample mean of 171.6 yards with a sample standard deviation of 2.4 yards. Assuming normality, carry out a hypothesis test at the 0.05 significance level to determine whether the ball meets the golfer's required average of more than 170 yards per swing.Use the partialt-table below to solve this problem.

Area in one tail

0.0250.05

Area in two tails

Degrees of Freedom 0.05 0.10

n-1

6 2.447 1.943

7 2.365 1.895

8 2.306 1.860

9 2.262 1.833

10 2.228 1.812

11 2.201 1.796

12 2.179 1.782

Question 1 options:

a)

Accept the null hypothesis. The data don't provide sufficient evidence that the average distance is greater than 170 yards.

b)

Accept the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 170 yards.

c)

Reject the null hypothesis. The data don't provide sufficient evidence that the average distance is greater than 170 yards.

d)

Reject the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 170 yards.