A State Representative Wishes to Estimate the Mean Number of Women

question 60

Multiple Choice

A state representative wishes to estimate the mean number of women representatives per state legislature. A random sample of 17 states is selected, and the number of women representatives is shown. Based on the sample, what is the point estimate of the mean? Find the $90 \%$ confidence interval of the mean population. (Note: The population mean is actually $31.3 . )$
$\begin{array} { l l l l l } 3 & 30 & 31 & 35 & 21 \\ 30 & 14 & 47 & 23 & 17 \\ 19 & 30 & 17 & 36 & 19 \\ 57 & 130 & & & \end{array}$

• A) Point Estimate : \(32.9\)
• CI : \(20.98 < \mu < 44.78\)
• B) Point Estimate : \(31.3\)
• CI : \(21.02 < \mu < 44.74\)
• C) Point Estimate : \(32.9\)
• CI : \(21.02 < \mu < 44.78\)
• D) Point Estimate : \(31.3\)
• CI : \(20.98 < \mu < 44.78\)

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