In developing a confidence interval estimate for the population mean, which of the following is true?

A) The larger the sample standard deviation, the narrower will be the interval estimate, all other things being equal.

B) If the population standard deviation is unknown, the appropriate critical value should be obtained from the binomial distribution.

C) The confidence interval developed from a smaller sample size will have a larger margin of error than one obtained using a larger sample size, all other things being equal.

D) All of the above are true.