Answer Happy

Consider a 95% confidence interval for the sample mean with an unknown variance, all data coming from a random sample of size 9. How does such an interval compare with a confidence interval based on a sample of size 100. (you may assume the sample variance is approximately the same for both samples) The smaller sample size means that the interval will contain the true mean less often. O The numbers 100 and 9 are both perfect squares, so there will be no change. O To maintain its probability properties, the interval will have to be wider as a consequence of the more volatile sampling distribution. O It will be narrower since a sample size of 9 produces less outliers.