Q. 32

Question

The normal probability curve and histogram of the data are shown in figure; σ is known.

Perform Hypothesis test for mean of the population from which data is obtained and decide whether to use z-test, t-test or neither. Explain your answer.



Step-by-Step Solution

Verified
Answer

z-test is used

1Step 1. Given Information

2Step 2. Consulting plots

Normal probability plot:

The distribution of the data is not approximately normally distributed because the points are not closer the line.

Histogram:

The distribution of the data is skewed to right with outlier.

3Step 3. Explanation

In this situation, the z-test should be appropriate because the population standard deviation known and sample size is large