Hanson Cruz
05/20/2023 · Senior High School
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. a. Identify the critical value \( \mathrm{t}_{\alpha / 2} \) used for finding the margin of error. \( \mathrm{t}_{\alpha / 2}=1.69 \) (Round to two decimal places as needed.) b. Find the margin of error. (Round to one decimal place as needed.) c. Find the confidence interval estimate of \( \mu \). \( \square \mathrm{g}<\mu<\square \mathrm{g} \) (Round to one decimal place as needed.)
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a. Critical value \( t_{\alpha/2} = 1.69 \)
b. Margin of error \( \text{ME} \approx 197.5 \, \text{g} \)
c. Confidence interval: \( 2983.1 \, \text{g} < \mu < 3378.1 \, \text{g} \)
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