The Heights of 20- to 29-Year-Old Females Are Known to Have

Multiple Choice

The heights of 20- to 29-year-old females are known to have a population standard deviation σ = 2.7 inches.A simple random sample of n = 15 females 20 to 29 years old results in the following data: $$\begin{array} { l l l l l } 63.1 & 67.9 & 64.8 & 62.2 & 65.4 \\\hline 63.3 & 66.2 & 68.2 & 69.7 & 64.1 \\\hline 68.4 & 69.9 & 67.3 & 64.5 & 70.2\end{array}$$

A) (64.98, 67.72) ; we are 95% confident that the mean height of 20- to 29-year-old females is between 64.98 and 67.72 inches.
B) (64.85, 67.85) ; we are 95% confident that the mean height of 20- to 29-year-old females is between 64.85 and 67.85 inches.
C) (65.12, 67.58) ; we are 95% confident that the mean height of 20- to 29-year-old females is between 65.12 and 67.58 inches.
D) (65.20, 67.50) ; we are 95% confident that the mean height of 20- to 29-year-old females is between 65.20 and 67.50 inches.