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A State Representative Wishes to Estimate the Mean Number of Women

Question 50

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%90 \% confidence interval of the mean population. (Note: The population mean is actually 31.3.) 31.3 . )
3303135213014472317193017361957130\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 : 32.932.9
CI : 20.98<μ<44.7820.98 < \mu < 44.78

B) Point Estimate : 31.331.3
CI : 21.02<μ<44.7421.02 < \mu < 44.74

C) Point Estimate : 32.932.9
CI : 21.02<μ<44.7821.02 < \mu < 44.78

D) Point Estimate : 31.331.3
CI : 20.98<μ<44.7820.98 < \mu < 44.78

Correct Answer:

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