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Constructing Normal Quantité Plots. In Exercises, use the

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 17BSC Chapter 6.6

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 17BSC

Constructing Normal Quantile Plots. In Exercises 17−20, use the given data values to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population with a normal distribution. 

Braking Distances A sample of braking distances (in feet) measured under standard conditions for a sample of large cars from Data Set 14 in Appendix B: 139, 134, 145, 143, 131.

Step-by-Step Solution:

Answer :

Step 1 of 1 :

Given Braking Distances A sample of braking distances (in feet) measured under standard conditions for a sample of large cars from Data Set 14:

139, 134, 145, 143, 131.

First sort the data by arranging the values in order from lowest  to highest.

131,134,139,143,145

x-values

131

134

139

143

145

Here n = 5

Then we have to identify the cumulative areas to the left of the corresponding values.

Here from the above table we have P(z) and z-score can be calculated by using standard normal table(area under normal curve)  

P(z)

 z -score

0.1

-1.28

0.3

-0.52

0.5

0

0.7

0.52

0.9

1.28

Now we have to plot a normal quantile plot.

x-values

 z -score

131

-1.28

134

-0.52

139

0

143

0.52

145

1.28

We are using excel to draw a normal quantile plot.

So we have to follow steps

Then the steps are given below

1.Enter x values in one column and z-scores in other column

2.Select two columns then go to insert

3.Select scatterplot

4.Choose layout in that sect quantile plot

4.Then press ok

We get the normal quantile plot.

If the normal quantile plot is roughly linear(roughly a straight line), then the sample data is approximately normal distributed.From the above graph we can say that the given data is not normal because plotted points are not near to trend line hence it is not normal.

Step 2 of 1

Chapter 6.6, Problem 17BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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