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As part of a quality-control study aimed at improving a
Chapter 4, Problem 2E(choose chapter or problem)
As part of a quality-control study aimed at improving a production line, the weights (in ounces) of 50 bars of soap 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
Construct a normal probability plot for these data. Do these data appear to come from an approximately normal distribution?
Questions & Answers
QUESTION:
As part of a quality-control study aimed at improving a production line, the weights (in ounces) of 50 bars of soap 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
Construct a normal probability plot for these data. Do these data appear to come from an approximately normal distribution?
ANSWER:
Solution :
Step 1 of 1:
Given the weight of 50 bars of soap are measured.
Here n=50.
Our goal is:
We need to construct a normal probability plot for these data and
We need to find do these data appear to come from an approximately normal population.
Now we have to find the normal probability plot for these data.
The formula of the cumulative probability is
=
Where i = 1,2,3,...,50.
And n=50.
We are using excel to plot the normal probability.
We sorted values.
Then the data is given below.
i |
|
|
|
i |
|
|
|
1 |
11.6 |
0.01 |
-2.326347874 |
26 |
16.2 |
0.51 |
0.025068908 |
2 |
12.6 |
0.03 |
-1.880793608 |
27 |