8:42 PM Mon Mar 2'l perd iscocom El 5 of 7 ID: MST.CP.CTM.06.00SD 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 ight distance of the ball. They are at the testing stage and run an experiment to test the mean ight distance for the new type of ball compared to a standard one. A special device is used to re 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 red using the device and the distance travelled (in feet) is recorded for each ball. Download the data Sample A Sample B 762 774 809 734 779 826 755 811 808 771 692 795 737 792 765 793 791 797 742 796 756 714 792 823 759 781 823 779 732 803 829 768 764 759 796 763 817 744 802 760 807 792 760 796 769 795 774 763 810 839 807 809 760 819 800 736 824 759 793 792 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: Ha: PA = Ha: Ha: l-'A PB D: Ho: PA Us The correct null and alternate hypotheses for this test are: B c b) Calculate the test statistic. Give your answer to 3 decimal places. c) At a significance level of 0.05, the null hypothesis is rejected 9 . That is, you can state that there is significant evidence o to conclude that the population mean flight distance 0 of the new type of golf ball is greater than c that of the standard golf ball. Ele of7 ID: MST.CP.CTM.01.0010 [3 points] For the following studies in which tests comparing two means are conducted, select whether the populations are independent or matched pairs: Matched pairs Independent