A State Representative Wishes to Estimate the Mean Number of Women

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 : $20.98 < \mu < 44.78$