Identify the distribution that applies to the following situation:
In constructing a confidence interval of $\mu$, you have 50 sample values and they appear to be from a population with a skewed distribution. The population standard deviation is not known.
A) Student t distribution
B) Normal distribution
C) Chi-square distribution
D) None of the three distributions is appropriate.

Question

Identify the distribution that applies to the following situation:
In constructing a confidence interval of $\mu$, you have 50 sample values and they appear to be from a population with a skewed distribution. The population standard deviation is not known.
A) Student  t  distribution
B) Normal distribution
C) Chi-square distribution
D) None of the three distributions is appropriate.

Quizplus · Accepted Answer

When constructing a confidence interval for the population mean ($\mu$) with a sample size of 50 from a population with a skewed distribution and the population standard deviation is not known, the Student t distribution is appropriate. This is because the t distribution is used when the population standard deviation is unknown and the sample size is relatively small (less than 30 is a common rule, but it can still be applicable for slightly larger samples, especially when the population distribution is not normal).

Identify the Distribution That Applies to the Following Situation: in μ\muμ

Identify the Distribution That Applies to the Following Situation:
in $\mu$