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In: Statistics and Probability

Driving Force is a golf ball manufacturer. Their R & D department have been developing a...

Driving Force is a golf ball manufacturer. Their R & D department have been developing a type of golf ball with a new dimpling pattern that is designed to increase the flight distance of the ball. They are at the testing stage and run an experiment to test the mean flight distance for the new type of ball compared to a standard one. A special device is used to fire the balls at a set force and angle.

A sample of 30 of the new balls (sample A) and 30 standard balls (sample B) are fired using the device and the distance travelled (in feet) is recorded for each ball.

Sample A,Sample B
845,738
706,732
787,726
794,729
728,766
771,682
791,781
784,748
702,730
768,699
807,718
764,707
754,760
753,680
795,741
834,675
786,700
752,812
738,793
802,705
724,726
691,758
720,701
786,755
797,753
790,755
752,802
787,798
789,814
792,744

Conduct an appropriate one-tailed hypothesis test. Assume that the population variances are not equal.

a.) From the following options, select the correct null and alternate hypotheses for this test:

A: H0: μA = μB, Ha: μA < μB

B: H0: μA < μB, Ha: μA > μB

C: H0: μA = μB, Ha: μA ≠ μB

D: H0: μA = μB, Ha: μA > μB

The correct null and alternate hypotheses for this test are: ____

b.) Calculate the test statistic. Give your answer to 3 decimal places.

t =

c.) At a significance level of 0.05, the null hypothesis is (rejected or not rejected)

That is, you can state that there is (proof, significant evidence, not enough evidence) to conclude that the (population mean flight distance, sample mean flight distance) of the new type of golf ball is (less than, greater than, equal to) that of the standard golf ball.

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