Chapter 2.2, Problem 84E

a.

To determine

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

Explanation of Solution

Given:

The data set is:

18.7
12.3
18.6
16.4
15.7
18.3
14.6
15.8
14.9
17.6
12.1
16.4
16.7
17.8
16.2
12.6
17.8
13.8
12.2
15.2
14.7
12.4
13.2
15.8
14.3
16.6
9.4
18.2
13.2
13.6
15.3
16.1
13.5
19.1
16.2
22.8
16.8
13.6
13.6
13.2
15.7
19.7
18.7
13.2
16.8

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 84E

No.

Explanation of Solution

In the above constructed plot, outlier is present which implies that the distribution is not approximately normally approximated. Thus, it cannot be said that the data has been from the population that is normally distributed.