Researchers have been studying the effect of diet on a certain species of rabbit. After making a change in diet, the researchers record the weight gained by a random sample of rabbits. The data is displayed below.

Weight gained $($grams$)$: $50\mathrm{.}1,39\mathrm{.}1,43\mathrm{.}7,50\mathrm{.}7,49,51\mathrm{.}4,51\mathrm{.}4,47\mathrm{.}4,49\mathrm{.}3,62\mathrm{.}9,65\mathrm{.}7,49,69\mathrm{.}5,58\mathrm{.}2$

Use Statkey to resample the sample $($bootstrap$)$ with $10,000$ iterations to create a $90\%$ confidence interval for the population mean weight gain:

Result: With the new diet, the researchers can be $90\%$ confident that the mean weight gain for all rabbits of this species is between and os $56\mathrm{.}38$ grams.