(Answered)-A golfer wished to find a ball that would travel more than 170 - (2025 Updated Original AI-Free Solution
Question
A golfer wished to find a ball that would travel more than 170 yards when hit with his 6-iron with a club head speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 12 times at the required speed.
Data from this?test had?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 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. Accept the null hypothesis. The data do not 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 do not 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. |