Here are summary statistics for randomly selected weights of newborn girls: \( \mathrm{n}=36, \overline{\mathrm{x}}=3180.6 \mathrm{~g}, \mathrm{~s}=700.5 \mathrm{~g} \). Use a confidence level of \( 90 \% \) to complete parts (a) through (d) below. (Round to two decimal places as needed.) b. Find the margin of error. \( \mathrm{E}=197.3 \mathrm{~g} \) (Round to one decimal place as needed.) c. Find the confidence interval estimate of \( \mu \). \( 2983.1 \mathrm{~g}<\mu<3378.1 \mathrm{~g} \) (Round to one decimal place as needed.) d. Write a brief statement that interprets the confidence interval. Choose the correct answer below. A. There is a \( 90 \% \) chance that the true value of the population mean weight of newborn girls will fall between the lower bound and the upper bound. B. One has \( 90 \% \) confidence that the sample mean weight of newborn girls is equal to the population mean weight of newborn girls. C. One has \( 90 \% \) confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls. D. Approximately \( 90 \% \) of sample mean weights of newborn girls will fall between the lower bound and the upper bound.
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