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.

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

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

Identify the population, the sample, and any population parameters or sample statistics in the given scenario. In the 1960 s, a poll of 2617 homeowners in the United States resulted in a report that the average price of a house in the U.S. was \( \$ 18,500 \). Answer O Population: none given: Sample: 2617 homeowners polled: Sample Statistic: \( \$ 18,500 \) Opopulation: U.S. homeowners: Sample: none given; Population Parameter: \( \$ 18,500 \)

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

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