(Solved): On a television show, eight contestants try to lose the highest percentage of weight in order to wi ...

On a television show, eight contestants try to lose the highest percentage of weight in order to win a cash prize. As part of the 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 $\alpha =0.05$, is there enough evidence to support the claim that the contestants' times have changed? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. 1 B. $t>$ C. $t<$ or $t>$ (c) Calculate $\overline{\mathrm{d}}$ and ${\mathrm{s}}_{\mathrm{d}}$. $\overline{\mathrm{d}}=$ (Round to three decimal places as needed.)