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 t = -1.6348, df = 189.5, p-value = 0.1038 alternative hypothesis: true difference in means is not equal to e 95 percent confidence interval: -2.9517451 0.2764086 sample estimates:

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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.
Transcribed Image Text: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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