Q 8.17RP. - Elementary Statistics

Question

A random sample of size $13$ is taken from a population. A normal probability plot of the sample data shows no outliers but has significant curvature. The population standard deviation is unknown.

Step-by-Step Solution

Answer

The confidence interval can neither be obtained from any procedures.

Step 1: Given information

A population is sampled with a size $13$ random sample. The sample data display significant curvature but no outliers on a normal probability curve.

Step 2: Explanation

Determine whether the z-interval process, the $t-$interval procedure, or neither is the best way for generating the confidence interval.

The sample size is tiny, and the standard deviation of the population is unknown. Furthermore, the normal probability reveals a substantial curvature in the data distribution with no outliers. As a result, no procedure can determine the confidence interval.