The scores on a test are normally distributed with a mean of 200 and a standard deviation of 10 . Find the score that is \( 1 \frac{1}{2} \) standard deviations above the mean.

A water bottling facility has a mean bottling rate of 34.1 thousand bottles per hour with a standard deviation of 2.13 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 25.7 thousand bottles per hour with a standard deviation of 1.63 thousand bottles. One Wednesday from noon to \( 1: 00 \) p.m, the water bottling facility bottled 37.2 thousand bottles of water, and the cola bottling facility bottled 27.7 thousand bottles of cola. Which facility increased their efficiency more during that hour? Answer

The grades on the second statistics test for Mr. Brown's class are in the following list. Find the frequency distribution for the grades. \[ F, C, B, D, D, A, F, B, B, D, F, D, D, B, B, D, B, A, D, F, D \]

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.52 and a standard deviation of 0.41 . Using the empirical rule, what percentage of the students have grade point averages that are greater than 3.34 ? Please do not round your answer. Answer How to enter your answer (opens in new window)

Find the range of the following data set. Assume the data set is a sample. \[ 43 \quad \begin{array}{lllllllll}54 & 51 & 86 & 39 & 51 & 52 & 45 & 81 & 46\end{array} 46 \]

A water bottling facility has a mean bottling rate of 34.1 thousand bottles per hour with a standard deviation of 2.13 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 25.7 thousand bottles per hour with a standard deviation of 1.63 thousand bottles. One Wednesday from noon to \( 1: 00 \) p.m., the water bottling facility bottled 37.2 thousand bottles of water, and the cola bottling facility bottled 27.7 thousand bottles of cola. Which facility increased their efficiency more during that hour? Answer