A company that manufactures hockey sticks wants to know if a new stick design allows players to increase the speed of their slapshots. A random sample of 9 juitior male hockey players was selected. Their slapshot speeds were recorded in miles per hour using a stick with the original design and a stick with the new design. Assume data follows a normal distribution. Summary statistics of the results are shown in the following table.

A company that manufactures hockey sticks wants to know if a new stick design allows players to increase the speed of their slapshots. A random sample of 9 juitior male hockey players was selected. Their slapshot speeds were recorded in miles per hour using a stick with the original design and a stick with the new design. Assume data follows a normal distribution. Summary statistics of the results are shown in the following table. Let 1 be the average slapshot speed using sticks with the original design. Let 2 be the average slapshot speed using sticks with the new design, for junior male hockey players. Let d be the average difference in slapshot speed between the original stick design and the new stick design, for Junior male hockey players, where d=y1 y2. a) Does the new stick design increase average slapshot speed for junior male hockey players? Perform an appropriate test. What are the hypotheses? Select one: HO:12=0vs.HA:12>0HO:12=0vs.HA:12=0HO:d=0vs.HA:d0vs.HA:12=0HO:d=0vs.Ha:d>0 b) In performing the test in part a), what are the value of the test statistic (TS), the P-value, and the appropriate conclusion at the 0.5% significance level? Select one: TS =5.27;00.10; there is not enough evidence to conclude that the new stick design increases average slapshot speed for junior male hockey players. TS =0.442;P-value >0.90; there is not enough evidence to onclude that the new stick design increases average slapshot peed for junior male hockey players