If you were constructing a 99% confidence interval of the population mean based on a sample of n=25 where the standard deviation of the sample s = 0.05, what will be the critical value of t?
A) 2.7969
B) 2.7874
C) 2.4851
D) 2.4922

Question

Quizplus · Accepted Answer

To find the critical value of t, we need to use the t-distribution table with degrees of freedom (df) = n-1 = 24 and a desired confidence level of 99%. Looking at the table, the closest value to df=24 and 99% in the two-tailed area is 2.7969. Therefore, the critical value of t is 2.7969.

If You Were Constructing a 99% Confidence Interval of the Population