To test \( \mathrm{H}_{0}: \mu=20 \) versus \( \mathrm{H}_{1}: \mu<20 \), a simple random sample of size \( \mathrm{n}=16 \) is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). (a) If \( \bar{x}=18.3 \) and \( \mathrm{s}=4.1 \), compute the test statistic. \( \mathrm{t}=\square \) (Round to two decimal places as needed.)

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.

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

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.

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