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 798 747 777 793 755 813 829 769 748 744 740 801 804 737 819 791 789 780 767 773 837 750 776 823 742 823 735 724 768 835 Sample B 759 780 770 743 721 769 794 778 756 721 742 759 751 769 784 803 803 773 729 761 815 788 742 772 734 801 743 772 787 811 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: ?A = ?B, Ha: ?A ? ?B B: H0: ?A = ?B, Ha: ?A > ?B C: H0: ?A = ?B, Ha: ?A < ?B D: H0: ?A < ?B, Ha: ?A > ?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 . That is, you can state that there is to conclude that the of the new type of golf ball is that of the standard golf ball.

          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
798 747 777 793 755
813 829 769 748 744
740 801 804 737 819
791 789 780 767 773
837 750 776 823 742
823 735 724 768 835

Sample B
759 780 770 743 721
769 794 778 756 721
742 759 751 769 784
803 803 773 729 761
815 788 742 772 734
801 743 772 787 811

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: ?A = ?B, Ha: ?A ? ?B
B: H0: ?A = ?B, Ha: ?A > ?B
C: H0: ?A = ?B, Ha: ?A < ?B
D: H0: ?A < ?B, Ha: ?A > ?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 .

That is, you can state that there is to conclude that the of the new type of golf ball is that of the standard golf ball.

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
798 747 777 793 755
813 829 769 748 744
740 801 804 737 819
791 789 780 767 773
837 750 776 823 742
823 735 724 768 835

Sample B
759 780 770 743 721
769 794 778 756 721
742 759 751 769 784
803 803 773 729 761
815 788 742 772 734
801 743 772 787 811

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: ?A = ?B, Ha: ?A ? ?B
B: H0: ?A = ?B, Ha: ?A > ?B
C: H0: ?A = ?B, Ha: ?A < ?B
D: H0: ?A < ?B, Ha: ?A > ?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 .

That is, you can state that there is to conclude that the of the new type of golf ball is that of the standard golf ball.

Added by Johnathan A.

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