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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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