Question

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: μ_A = μ_B, H_a: μ_A < μ_B

B: H₀: μ_A < μ_B, H_a: μ_A > μ_B

C: H₀: μ_A = μ_B, H_a: μ_A ≠ μ_B

D: H₀: μ_A = μ_B, H_a: μ_A > μ_B

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.

Answer 1