In order to use the normal distribution for interval estimation of μ when σ is known and the sample is very small, the population
A) must be very large
B) must have a normal distribution
C) can have any distribution
D) must have a mean of at least 1

Question

Quizplus · Accepted Answer

In order to use the normal distribution for interval estimation of μ when σ is known and the sample is very small, the population must have a normal distribution. This is because the distribution of sample means converges to a normal distribution as the sample size increases. However, when the sample size is very small, the distribution of sample means may not be normal unless the population is also normal. Therefore, option B is the correct choice. Options A, C, and D are incorrect.

In Order to Use the Normal Distribution for Interval Estimation