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   .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   .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   .01.

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15. 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   .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   .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   .01.

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