You wish to test the following claim \( \left(H_{a}\right) \) at a significance level of \( \alpha=0.02 \). For the context of this problem, \( \mu_{d}=\mu_{2}-\mu_{1} \) where the first data set represents a pre-test and the second data set represents a post-test. \( H_{o}: \mu_{d}=0 \) \( H_{a}: \mu_{d}>0 \) You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for \( n=49 \) subjects. The average difference (post - pre) is \( \bar{d}=4.3 \) with a standard deviation of the differences of \( s_{d}=30.3 \). What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic \( =0.993 \quad \sigma^{8} \) What is the p -value for this sample? (Report answer accurate to four decimal places.) p -value \( = \)

The five-number summary for a data set is: Min \( =14 \quad Q_{1}=40 \quad M=55 \quad Q_{3}=62 \quad \) Max \( =99 \) a Determine the values of the upper and lower fences. b The smallest three values in the data set are \( 6,18,34 \) and the largest are \( 90,94,99 \). Which of these are outliers?

What is a scatter plot?

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

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.

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