In: Statistics and Probability
3. 39 NFL draft prospects for the quarterback position were asked to throw a football as far as they could. For this sample the mean distance was 72.3 yards and the standard deviation of the sample was 6.3 yards. a) Find a 90% CI for the true mean max distance he population of NFL prospects could throw the ball. b) Find a 90% CI for the true population standard deviation of differences.
a)
90% Confidence interval for population mean is [70.641 , 73.959]
b)
90 % confidence interval for population standard deviation is [ 5.3153 , 7.7853]