Q1) Reply the following questions regarding normal, standard normal and binomial distributions.
(i) Why can normal distribution be utilized as approximation to binomial distribution?
(ii) What circumstances should be met to use normal distribution to approximate binomial distribution?
(C) How does standard normal distribution vary from normal distribution?
Q2) Suppose that population of heights of female college students is about normally distributed with mean µ of 68 inches and standard deviation σ of= 2.75 inches. Random sample of 16 heights is obtained. Illustrate all work.
(i) Determine the proportion of female college students whose height is greater than 69 inches.
(ii) Determine the mean and standard error of the x - bar distribution.