For the interval estimation of μ when σ is assumed known, the proper distribution to use is the_____.
A) standard normal distribution
B) t distribution with n degrees of freedom
C) t distribution with n − 1 degrees of freedom
D) t distribution with n − 2 degrees of freedom

Question

Quizplus · Accepted Answer

When σ is assumed known, the proper distribution to use for the interval estimation of μ is the standard normal distribution. This is because the formula for calculating the confidence interval involves dividing by σ, which eliminates the need for the t distribution.

For the Interval Estimation of μ When σ Is Assumed