In a study examining overweight and obese college football players, Mathews and Wagner (2008) found that on average both offensive and defensive linemen exceeded the at-risk criterion for body mass index (BMI). BMI is a ratio of body weight to height squared and is commonly used to classify people as overweight or obese. Any value greater than 30 kg/m2 is considered to be at risk. In the study, a sample of n = 17 offensive linemen averaged M = 34.4 with a standard deviation of s = 4.0. A sample of n = 19 defensive linemen averaged M = 31.9 with s = 3.5 a. Use a single-sample t test to determine whether the offensive linemen are significantly above the at-risk criterion for BMI. Use a one-tailed test with α = .01. b. Use a single-sample t test to determine whether the defensive linemen are significantly above the at-risk criterion for BMI. Use a one-tailed test with α = .01. c. Use an independent-measures t test to determine whether there is a significant difference between the offensive linemen and the defensive linemen. Use a two-tailed test with α = .01

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 25PFA
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In a study examining overweight and obese college football players, Mathews and Wagner
(2008) found that on average both offensive and defensive linemen exceeded the at-risk criterion
for body mass index (BMI). BMI is a ratio of body weight to height squared and is commonly
used to classify people as overweight or obese. Any value greater than 30 kg/m2 is considered to
be at risk. In the study, a sample of n = 17 offensive linemen averaged M = 34.4 with a standard
deviation of s = 4.0. A sample of n = 19 defensive linemen averaged M = 31.9 with s = 3.5
a. Use a single-sample t test to determine whether the offensive linemen are significantly above
the at-risk criterion for BMI. Use a one-tailed test with α = .01.
b. Use a single-sample t test to determine whether the defensive linemen are significantly above
the at-risk criterion for BMI. Use a one-tailed test with α = .01.
c. Use an independent-measures t test to determine whether there is a significant difference
between the offensive linemen and the defensive linemen. Use a two-tailed test with α = .01

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