Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 6 - Normal Probability Distributions - 6-6 Assessing Normality - Basic Skills and Concepts - Page 304: 19


Not normal

Work Step by Step

We know the following equation for z-scores: $z=\frac{x−μ}{σ}$ Thus, after finding the standard deviation and average using a calculator, we use this equation to see that the coordinates (x,z) are: (1051,−0.89);(1067,−0.49);(1070,−0.16);(1079,0.16);(1079,0.49);(1173,0.89);(1272,1.53) After we use this to create the normal quantile plot, we can see if the data are in a straight line. In this case, the data are not in a straight line, hence we can see that the distribution is not normal.
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