Introductory Statistics
Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 13, Problem 83H

The American League and the National League of Major League Baseball are each divided into three divisions: East, Central, and West. Many years, fans talk about some divisions being stronger (having better teams) than other divisions. This may have consequences for the post season. For instance, in 2012 Tampa Bay won 90 games and did not play in the post season, while Detroit won only 88 and did play in the post season. This may have been an oddity, but is there good evidence that in the 2012 season, the American League divisions were significantly different in overall records? Use the following data to test whether the mean number of wins per team in the three American League divisions were the same or not. Note that the data are not balanced, as two divisions had five teams, while one had only four.

Division Team Wins
East Yankees 95
East Baltimore 93
East Tampa Bay 90
East Toronto 73
East Boston 69

Table 13.38

Division Team Wins
Central Detroit 88
Central Chicago Sox 85
Central Kansas City 72
Central Cleveland 68
Central Minnesota 66

Table 13.39

Division Team Wins
West Oakland 94
West LA Angels 93
West Texas 89
West Seattle 75

Table 13.40

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For each of the time​ series, construct a line chart of the data and identify the characteristics of the time series​ (that is,​ random, stationary,​ trend, seasonal, or​ cyclical). Year    Month    Units1    Nov    42,1611    Dec    44,1862    Jan    42,2272    Feb    45,4222    Mar    54,0752    Apr    50,9262    May    53,5722    Jun    54,9202    Jul    54,4492    Aug    56,0792    Sep    52,1772    Oct    50,0872    Nov    48,5132    Dec    49,2783    Jan    48,1343    Feb    54,8873    Mar    61,0643    Apr    53,3503    May    59,4673    Jun    59,3703    Jul    55,0883    Aug    59,3493    Sep    54,4723    Oct    53,164

Chapter 13 Solutions

Introductory Statistics

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