Question
A golfer wished to find a ball that would travel more than 180 yards when hit with his 5-iron with a club speed of 90
A golfer wished to find a ball that would travel more than 180 yards when hit with his 5-iron with a club speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 7 times at the required speed.
Data from this test resulted in a sample mean of 184.2 yards and a sample standard deviation of 5.8 yards. Assuming normality, carry out a hypothesis test at the 0.05 significance level to determine whether the ball meets the golfers requirements. Use the partial t-table below.
Area in one tail | ||
0.025 | 0.05 | |
Area in two tails | ||
Degrees of Freedom n - 1 | 0.05 | 0.10 |
6 | 2.447 | 1.943 |
7 | 2.365 | 1.895 |
8 | 2.306 | 1.860 |
9 | 2.262 | 1.833 |
A. Reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 180 yards. |
B. Reject the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 180 yards. |
C. Do not reject the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 180 yards. |
D. Do not reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 180 yards. |
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