STAT TECH IN BUSINESS & ECON AC
STAT TECH IN BUSINESS & ECON AC
18th Edition
ISBN: 9781264731657
Author: Lind
Publisher: MCG
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Chapter 16, Problem 1.8PT
To determine

State the major difference between Kruskal–Wallis test and Wilcoxon rank-sum test.

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The manufacturer of an electrical vehicle, X, is interested in testing two different battery elements for its product. The manufacturer obtains 5 samples and tests each one. The heat gain after 15 minutes (in °F) follows. Unit A Unit B 23 31 15+8 27 20+8 29 29 30+2 22+5 34 Is there any reason to suspect that one unit is superior to the other? You can use statistical software to find out if there are any significant differences between 2 units using a = 1%, suppose the data is not normally distributed.
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Body Mass Index is a measure of body shape. Duran et al. (2013) investigated BMI in Texas youth. In part of the study, they took BMI measurements on samples of 14 year old boys and girls in Texas (94 boys and 98 girls). Suppose they were interested in investigating a possible difference in body mass index between boys and girls at that age. Assume for the purposes of this question that the samples can be thought of as independent simple random samples from 14 year old Texans, and that all other assumptions of the Welch t procedure are met. Welch Two Sample t-test data: BMI by gender = 0.1038 t = -1.6348, df = 189.5, p-value alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -2.9517451 0.2764086 sample estimates: mean in group Boy mean in group Girl 23.30213 24.63980 Give an appropriate interpretation of the confidence interval found in the output. Your interpretation must relate to the problem at hand.
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