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. b. Find the margin of error. E \( =.00258 \) lb (Round to five decimal places as needed.) c. Find the confidence interval estimate of \( \mu \). .82149 Ib < \( \mu \) < .82665 lb (Round to five decimal places as needed.) d. Write a brief statement that interprets the confidence interval. Choose the correct answer below. B. One has \( 99 \% \) confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of Pepsi in a can. C. There is a \( 99 \% \) chance that the true value of the population mean weight of Pepsi in a can will fall between the lower bound and the upper bound. D. One has \( 99 \% \) confidence that the sample mean weight of Pepsi in a can is equal to the population mean weight of Pepsi in a can.
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