When the population is normally distributed,population standard deviation $\sigma$ 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 the above

Question

When the population is normally distributed,population standard deviation  $\sigma$ 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 the above

Quizplus · Accepted Answer

When the population standard deviation is unknown and the sample size is less than 30, the t distribution is used to calculate the confidence interval for the population mean. In this case, the sample size is 15, so the t distribution is the appropriate choice. The z distribution is used when the population standard deviation is known or the sample size is large (more than 30), and the other distributions listed are not applicable for this type of problem.

When the Population Is Normally Distributed,population Standard Deviation σ\sigmaσ Is Unknown,and the Sample Size Is N = 15;the Confidence

When the Population Is Normally Distributed,population Standard Deviation $\sigma$ Is Unknown,and the Sample Size Is N = 15;the Confidence