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7. A study was to be undertaken to determine if a particular training program would improve physical fitness. A simple random sample of 35 university

7. A study was to be undertaken to determine if a particular training program would improve physical fitness. A simple random sample of 35 university students was selected to be enrolled in the training program. After the training program was completed, the maximum oxygen uptake of the students was measured to indicate their fitness level. The researchers wished to determine if there was evidence that their sample of students differed from the general population of untrained subjects, whose maximum oxygen uptake is known to be 45 mL/kg/min on average. Based on the sample of 35 students, the maximum oxygen uptake was found to have slight skewness but no strong outliers. Why can we safely use a t procedure in this testing situation?

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The sample standard deviation is robust against such things as outliers.

The t procedure is quite robust against non-normality as there is no extreme skewness

Both B and C are justifications for using the t procedure here.

The one-sample t procedure requires that observations are independent, which is verified by a simple random sampling design, which is what was done in this case.

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