When constructing a confidence interval for a population mean,if the population is normally distributed with unknown standard deviation and the sample size is 10,then the distribution of $\bar { x }$
Is based on _____ distribution.
A)z
B)t
C)F
D)chi-square
E)binomial

Question

Quizplus · Accepted Answer

When the population standard deviation is unknown and the sample size is small (n < 30), the distribution of the sample mean $\bar{x}$ is best approximated using the t-distribution, not the z-distribution. The t-distribution accounts for the increased uncertainty due to estimating the population standard deviation with the sample standard deviation.

When Constructing a Confidence Interval for a Population Mean,if the Population