On a television show. eight contestants try to lose the highest percentage of weight in order to win a cash prize. As part ofthe show, the contestants are timed as they run an obstacle course. The table shows the times (in seconds) of the contestants at the beginning of the season and at the end of the season. At 0:: 0.05, is there enough evidence to support the claim that the contestants' times have changed? Assume the samples are random and dependent, and the popu ation is normally distributed. Complete parts (a) through (e) below. Contestant 1 2 3 4 5 6 7 8 El Time (beginning) 151.3 104.5 127.3 132.6 114.1 102.1 130.8 103.2 Time (end) 144.1 99.4 121.9 131.1 100.4 99.9 120.4 35.7 (a) Identify the claim and state H0 and Ha. What is the claim? The contestants' times have decreased. The contestants' times have changed. The contestants' times have not changed. 53.0.\"? The contestants' times have increased. Lel I'd be the hypothesized mean of the difference in the times (beginning - end). What are H0 and Ha? A. H0:lldza B. H0:pd#0 c H03Pd5d Ha:pdd :2 D. Hawaii) [,2 E. H03le =0 [,2 F. Hmpdzo Ha:pd>0 Ha:pd#0 Ha:pd (c) Calculated and ed. d= (Round to three decimal places as needed.) Calculate sd. 5d = (Round to three decimal places as needed.) (d) Find the standardized test statistic t. t= (Round to three decimal places as needed.) (e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. V the null hypothesis. There V enough evidence to V the claim that the contestants' times have V