A coach has a sample of 19 students. A coach tests the abilities of his athletes by making them run laps. he has a sample size of 19 and the sample mean is 71 seconds with a standard deviation of 17 seconds. a) calculate a 99% confidence for the mean lap time.  b) calculate a 95% prediction on the next lap time with the same conditions c)  calculate a 90% confidence interval for the population standard deviation.

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