8
5 points
The Mark VI monorail used at Disney World has doors with a height of \( 72 \mathrm{in} \). Heights of men are normally distributed with a mean of \( 69.5 \mathrm{in} \). and a standard deviation of 2.4 in. What percentage of adult men can fit through the doors without bending? Does the door design with a height of 72 in. appear to be adequate? Explain.
Percentage (enter a percentage, round to 2 decimal places): \( \square \) type your answer... \( \% \)
Adequate? choose your answer...
Explain: type your answer...
9
5 points
In a Gallup poll, 1011 adults were asked if they consume alcoholic beverages, and \( 64 \% \) of them said that they did. Construct a \( 90 \% \) confidence interval estimate of the proportion of all adults who consume alcoholic beverages.
Lower Limit (Enter a decimal. Round to 3 decimal places. Put a 0 before the decimal point.): type your answer...
Upper Limit (Enter a decimal. Round to 3 decimal places. Put a 0 before the decimal point.): type your answer...
10
5 points
The maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4 parts per million (ppm). A consumer health group measured the level of the chemical in a random sample of tomatoes obtained from one producer. The levels, in ppm, are shown below.
\begin{tabular}{|c|c|c|c|c|}
\hline & 0.47 & 0.19 & 0.72 & 0.56 \\
\hline\( \frac{0.31}{0.91} \) & 0.29 & 0.83 & 0.49 & 0.28 \\
\hline 0.31 & 0.46 & 0.25 & 0.34 & 0.17 \\
\hline 0.58 & 0.19 & 0.26 & 0.47 & 0.81 \\
\hline
\end{tabular}