From a population that is normally distributed with an unknown standard deviation, a sample of 25 elements is selected. For the interval estimation of μ, the proper distribution to use is the _____.
A) standard normal distribution
B) z distribution
C) t distribution with 26 degrees of freedom
D) t distribution with 24 degrees of freedom

Question

Quizplus · Accepted Answer

When estimating the population mean μ from a normally distributed population with an unknown standard deviation, and the sample size is n, the appropriate distribution to use is the t distribution with n-1 degrees of freedom. Here, n = 25, so n-1 = 24.

From a Population That Is Normally Distributed with an Unknown