Determine whether the given conditions justify using the margin of error $\mathrm { E } = \mathrm { z } _ { \alpha / 2 } \sigma / \sqrt { \mathrm { n } }$ when finding a confidence interval estimate of the population mean $\mu$.
-The sample size is n $\mathrm { n } = 5 , \sigma = 12.7$ and the original population is normally distributed.
A)Yes
B)No

Question

Quizplus · Accepted Answer

The formula $E = z_{\alpha/2} \sigma / \sqrt{n}$ can be used because the original population is normally distributed, which satisfies the conditions for using this formula even with a small sample size (n = 5).

Determine Whether the Given Conditions Justify Using the Margin of Error