You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.25 . Thus you are performing a two-tailed test. Your sample data produce the test statistic \( z=-2.63 \). Find the \( p \)-value accurate to 4 decimal places.

A water bottling facility has a mean bottling rate of 35.2 thousand bottles per hour with a standard deviation of 2.04 thousand bottles, A nearby cola bottling facility has a mean bottling rate of 26.9 thousand bottles per hour with a standard deviation of 1.51 thousand bottles. One Wednesday from noon to \( 1: 00 \) p.m., the water bottling facility bottled 36.9 thousand bottles of water, and the cola bottling facility bottled 27.9 thousand bottles of cola. Which facility increased their efficiency more during that hour? Answer

Find the range of the following data set, Assume the data set is a sample. \[ \begin{array}{lllllllllll} & 41 & 82 & 37 & 43 & 77 & 44 & 44 & 50 & 49 & 49\end{array} \] 8

Suppose that IQ scores have a bell-shaped distribution with a mean of 95 and a standard deviation of 16 . Describe where the highest and lowest \( 32 \% \) of IQ scores lie. Answer botween 47 and 143 below 79 and above 111

Find the range of the following data set. Assume the data set is a sample.

The grades on the second statistics test for Ms. Rose's class are in the following list. Find the frequency distribution for the grades. B, B, A, D, D, D, D, C, C, D, F, D, D, D, D, B, C, B, F, F, C