Assume that a sample is used to estimate a population proportion \( p \). Find the margin of error M.E. that corresponds to a sample of size 210 with 76 successes at a confidence level of \( 99.5 \% \). M.E. = (report answer accurate to one decimal place; answer should be reported as a percent, not a decimal- though do not type the percent sign) Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

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

A water bottling facility has a mean bottling rate of 33.5 thousand bottles per hour with a standard deviation of 1.92 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 26.2 thousand bottles per hour with a standard deviation of 1.42 thousand bottles. One Wednesday from noon to \( 1: 00 \) p.m., the water bottling facility bottled 36.8 thousand bottles of water, and the cola bottling facility bottled 28.4 thousand bottles of cola. Which facility increased their efficiency more during that hour? Answer

Construct a box plot from the given data. Diameters of Cans in an Assembly Line: \( 5.8,5.7,5.2,5.5,5.3,5.7,5.8,5.4,5.9,5.3 \)

If a scatter plot shows points that are closely clustered together, what can you infer about the correlation between the variables?

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