Question

As part of a quality-control study aimed at improving a production line, the weights (in ounces) of 50 bars of soaps are measured. The results are as follows, sorted from smallest to largest.
11.6 12.6 12.7 12.8 13.1 13.3 13.6 13.7 13.8 14.1
14.3 14.3 14.6 14.8 15.1 15.2 15.6 15.6 15.7 15.8
15.8 15.9 15.9 16.1 16.2 16.2 16.3 16.4 16.5 16.5
16.5 16.6 17.0 17.1 17.3 17.3 17.4 17.4 17.4 17.6
17.7 18.1 18.3 18.3 18.3 18.5 18.5 18.8 19.2 20.3

Required:
Construct a normal probability plot for these data. Do the data appear to come from an approximately normal distribution?

Answer 1

Answer:

Step-by-step explanation:

Hello!

The variable of interest is the weight in ounces of a soap bar.

Attached is a QQplot diagram.

A Q-Q plot is a diagram that compares two probability distributions, in this case, the probability distribution of the data set against the theoretical normal distribution. If the observed data matches the theoretical sets, you can say that that population follows said distribution.

As you can see in the graphic the observed values (blue dots) fit the normal theoretical quantiles, so we can say that the data appear to come from a normal distribution.

I hope it helps.