QuestionHere are summary statistics for the weights of Pepsi in randomly selected cans: $n=36$, $\bar{x}=0.82408 \mathrm{lb}, \mathrm{s}=0.00568 \mathrm{lb}$. Use a confidence level of $99 \%$ to complete parts (a) through (d) below. a. Identify the critical value $t_{\alpha / 2}$ used for finding the margin of error. $$t_{\alpha / 2}=2.72$$ (Round to two decimal places as needed.) b. Find the margin of error. $$E=0.00257 \mathrm{lb}$$ (Round to five decimal places as needed.) c. Find the confidence interval estimate of $\mu$. $\square$ $\mathrm{lb}<\mu<$ $\square$ lb (Round to five decimal places as needed.)