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.

Sample A, Sample B,
790,744,
806,803,
763,737,
812,820,
785,780,
763,746,
808,740,
783,773,
754,761,
792,808,
756,756,
769,776,
775,799,
791,692,
796,692,
721,735,
772,780,
802,815,
788,762,
750,797,
751,750,
753,792,
776,755,
774,753,
751,855,
793,788,
810,749,
809,807,
788,763,
751,721,
809,811,
732,773,
770,776,
779,759,
820,791,
774,779,
712,780,
754,749,
752,781,
829,800

Calculate the test statistic; t=?

At a significance level of 0.05, the null hypothesis is ?

That is, you can state that there is proofsignificant evidencenot enough evidence to conclude that the population mean flight distancesample mean flight distance of the new type of golf ball isless thangreater thanequal to that of the standard golf ball.