Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 3 - Section 3.4 - Assess Your Understanding - Applying the Concepts - Page 172: 21a

Answer

$z=-0.725$ 36.3 miles per gallon is 0.725 standard deviations below the mean.

Work Step by Step

In MINITAB, insert all the values of the table in the column C1. Select Calc -> Column Statistics In "Statistic" select "Mean". In "Input variable" enter C1. Click OK. The result for the mean will be given. $x̅=38.775$ Select Calc -> Column Statistics In "Statistic" select "Standard deviation". In "Input variable" enter C1. Click OK. The result for the standard deviation will be given. $s=3.416$ $z=\frac{x-x̅}{s}=\frac{36.3-38.775}{3.416}=-0.725$
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