Chapter 2.2, Problem 83E

a.

To determine

To construct: The normal probability plot using the provided data set.

Explanation of Solution

Given:

The data set is:

12.9
13.7
14.1
14.2
14.5
14.5
14.6
14.7
15.1
15.2
15.3
15.3
15.3
15.3
15.5
15.6
15.6
15.8
16
16
16.2
16.2
16.3
16.4
16.5
16.6
16.6
16.6
17
17
17.2
17.4
17.4
17.9
18.4

Graph:

The normal probability plot can be constructed as:

  

b.

To determine

To find: Whether the provided distribution is approximately normally distributed or not using the probability plot constructed in above part.

Answer to Problem 83E

Yes.

Explanation of Solution

In the above constructed plot, all points are lying within the boundary which implies that distribution is approximately normally approximated. Thus, it can be said that the data has been taken from the population that is normally distributed.