Calculate the minimum sample size needed to construct a confidence interval with the desired characteristics.

A researcher is looking to estimate the mean LSAT score of law school applicants who completed their undergraduate degrees at small liberal arts colleges. She wants a 99% level of confidence and maximum margin of error of 2 points. How many applicants must she survey if previous studies show the standard deviation to be approximately 9 points?

As you solve the problem above showing formula and all steps, address each of the following questions.

Identify the following for the problem:

a) Critical Value z₍/2)

b) Standard Deviation

c) Margin of Error E

d) What would happen to the minimum number of applicants if youincreasethestandard deviation?

e) What would happen to the minimum number of applicants if youincreasetheMargin of Error?

f) What would happen to the minumum number of applicants if you utilized a lower critical value rather than 99% level of confidence?