Test the claim that the proportion of people who own cats is larger than \( 90 \% \) at the 0.10 significance level. The null and alternative hypothesis would be: \( H_{0}: \mu=0.9 H_{0}: \mu=0.9 H_{0}: p=0.9 \quad H_{0}: p=0.9 \quad H_{0}: p=0.9 \quad H_{0}: \mu=0.9 \) \( H_{1}: \mu>0.9 H_{1}: \mu \neq 0.9 H_{1}: p<0.9 H_{1}: p>0.9 H_{1}: p \neq 0.9 H_{1}: \mu<0.9 \)

Scores on a test have a mean of 78 and a standard deviation of 13 . Tom has a score of 66 . Convert Tom's score to a \( z \)-score, rounded to the nearest hundredth.

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

Four scenarios of statistical studies are given below. Decide which study uses a population parameter. Answer 1000 of the 1883 participants in last year's Ironman in Kona, Hawail were interviewed. \( 68 \% \) of those interviewed said they became interested in triathlons after first ofmpeting in marathons. 351 dog owners who were surveyed, 70 reported owning two dogs. Parkland Hospital performs 15,000 births a year. Of 1000 subjects in a study on multiple births, 38 gave birth to twins. in \( 2001.78 \% \) of children diagnosed with cancer were in remission after five years, and this number is improving.

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