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

Question

Quizplus · Accepted Answer

To find the critical value of t for a 99% confidence interval with 24 degrees of freedom (n-1), we can use a t-score table or a calculator. Using the t-score table, we can find the value of t such that the area in the upper tail (to the right of t) is 0.005, since we want a two-tailed confidence interval with 0.005 in each tail. This gives us a t-score of 2.7969, which is closest to choice A.

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