Driving Force is a golf ball manufacturer. Their R & D department have been deve
ID: 3432276 • Letter: D
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 40 of the new balls (sample A) and 40 standard balls (sample B) are fired using the device and the distance travelled (in feet) is recorded for each ball.
Download the data
Conduct a one-tailed hypothesis test for equality of the population means. Assume that the population variances are not equal.
You may find this Student's t distribution table useful.
a)From the following options, select the correct null and alternate hypotheses for this test:
A:H0: uA = uB, Ha: uA < uB
B:H0: uA = uB, Ha: uA > uB
C:H0: uA < uB, Ha: uA > uB
D:H0: uA = uB, Ha: uA ? uB
The correct null and alternate hypotheses for this test are: ABCD
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, not rejected).
That is, you can state that there is (proof, or significant evidence, or not enough evidence) to conclude that the (population mean flight distance or, sample mean flight distance) of the new type of golf ball is (less than, greater than, equal) to that of the standard golf ball.
Sample A 817 753 795 839 806 754 757 769 838 791 795 812 802 774 775 796 775 796 781 776 803 822 812 819 770 756 807 814 728 730 839 815 790 743 821 853 757 812 833 791 Sample B 753 811 779 793 828 730 785 776 864 809 785 795 789 763 869 690 795 793 728 759 805 769 754 770 808 760 767 754 759 756 777 808 744 784 808 823 829 773 764 737Explanation / Answer
(a) B:H0: uA = uB, Ha: uA > uB
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(b)
t =1.594
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(c)not rejected
That is, you can state that there is not enough evidence to conclude that the population mean flight distance of the new type of golf ball is greater than to that of the standard golf ball.
A B 792.90 781.08 mean 30.91 35.30 std. dev. 40 40 nRelated Questions
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