When the population is normally distributed,population standard deviation σ is unknown,and the sample size is n = 15;the confidence interval for the population mean μ is based on:
A)The z (normal)distribution.
B)The t distribution.
C)The binomial distribution.
D)The Poisson distribution.
E)None of thesE.

Question

Quizplus · Accepted Answer

When the population standard deviation is unknown and the sample size is small (n<30), we use the t-distribution to calculate the confidence interval for the population mean. In this case, n=15 which is a small sample size, so the t-distribution should be used.

When the Population Is Normally Distributed,population Standard Deviation σ Is