1. Use the values in the table below, which represent the heights, in inches, of 36 randomly-selected students enrolled in ANSC during a recent semester, to answer/complete Parts a through c:

1. Estimate, with 95 percent confidence, the proportion of all students enrolled in ANSC, that semester, who were at least 70 inches tall.

1. How would the width of the interval in Part a change if you wanted to be 90 percent confident, holding all other values/ideas constant?

• The width would decrease If you changed to 90% confidence

1. How would the width of the interval in Part a change if the sample size equaled 25, holding all other values/ideas constant?

- the width of the interval would be larger if the sample size was 25

2. For the 36 students in the sample in Question 6, the mean height equals 68 inches and the standard deviation equals 4.44 inches.

1. Estimate, with 95 percent confidence, the mean height for all students enrolled in ANSC, that semester.
2. How would the width of the interval in Part a change if the standard deviation equaled 3.33 inches, holding all other values/ideas constant?
3. How would the width of the interval in Part a change if the mean equaled 71 inches, holding all other values/ideas constant?

\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|} \hline 68 & 72 & 62 & 70 & 70 & 72 & 70 & 69 & 71 & 64 & 71 & 68 & 62 & 65 & 65 & 63 & 67 & 62 \\ \hline 64 & 67 & 63 & 70 & 65 & 63 & 69 & 77 & 66 & 74 & 71 & 69 & 77 & 77 & 65 & 70 & 71 & 60 \\ \hline \end{tabular}