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 827 789 820 779 803 860 852 779 751 833 800 766 771 820 810 744 805 820 818 764 787 815 846 788 790 791 899 796 749 807 Sample B 791 777 711 804 808 799 766 734 797764 749 784 788 790 869 795 773 825 742 856 814 868 803 858 798 731 776 748 755 728 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: The correct null and alternate hypotheses for this test are: b) Calculate the test statistic. Give your answer to 3 decimal places. c) At a significance level of 0.05, the null hypothesis is That is, you can state that there is that of the standard golf ball to conclude that th of the new type of golf ball is population mean flight distance sample mean flight distance

Answer 1

Here sample 1 is new type of golf ball (sample A)

and sample 2 is standard golf ball (sample B)

here we need to use the independent 2-sample t-test

first we need to find the mean and standard deviation for sample 1 and sample 2

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