Here are summary statistics for the weights of Pepsi in randomly selected cans: \( \mathrm{n}=36, \overline{\mathrm{x}}=0.82407 \mathrm{lb}, \mathrm{s}=0.00569 \mathrm{lb} \). Use a confidence level of \( 99 \% \) to complete parts (a) through (d) below. a. Identify the critical value \( \mathrm{t}_{\alpha / 2} \) used for finding the margin of error. \( \mathrm{t}_{\alpha / 2}=2.72 \) (Round to two decimal places as needed.) b. Find the margin of error. \( \mathrm{E}=.00258 \mathrm{lb} \) (Round to five decimal places as needed.) c. Find the confidence interval estimate of \( \mu \). \( \square \mathrm{Ib}<\mu<\square \mathrm{lb} \) (Round to five decimal places as needed.)
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