Question

1. Refer to the Baseball 2012 data, which report information on the 30 Major League Baseball teams for the 2012 season. Set up a variable that divides the teams into two groups, those that had a winning season and those that did not. There are 162 games in the season, so define a winning season as having won 81 or more games. Next, find the median team salary and divide the teams into two salary groups. Let the 15 teams with the largest salaries be in one group and the 15 teams with the smallest salaries be in the other. At the .05 significance level, is there a relationship between salaries and winning? 2. Refer to the Real Estate data, which report information on homes sold in Goodyear, Arizona, and the surrounding area. a. Use an appropriate nonparametric test to determine whether there is a difference in the typical selling price of the homes in the several townships. Assume the selling prices are not normally distributed. Use the .05 significance level. b. Combine the homes with six or more bedrooms into one group and determine whether there is a difference according to the number of bedrooms in the typical selling prices of the homes. Use the .05 significance level and assume the distribution of selling prices is not normally distributed. c. Assume that the distribution of the distance from the center of the city is positively skewed. That is, the normality assumption is not reasonable. Compare the distribution of the distance from the center of the city of the homes that have a pool with those that do not have a pool. Can we conclude there is a difference in the distributions? Use the .05 significance level.

Answer 1

Ans-1.

(a) Major League Baseball is split into two leagues, the National League (NL) and the American League (AL). The main difference between the two leagues is that pictures take at bats in the National League but not in the American League.

(b) An estimated median for the AL is about 1455 hits, and an estimated median for the NL is about 1410 hits. So an estimated difference in median number of hits is 1455 ? 1410 = 45 hits. The American League has more hits.

Also The variability is greater for teams in the American League. the standard deviation is greater, the IQR is greater, or the range is greater.