Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 7 - Section 7.2 - Assess Your Understanding - Applying the Concepts - Page 378: 38d

Answer

It would be unusual for a sixth-grade student to read more than 200 words per minute. This is because the probability of such an event happening is 0.0009, which is much below 0.05.

Work Step by Step

Want to find $P(x > 200)$ i) Convert 200 to a z-score z = $\frac{x - \mu}{\sigma}$ z = $\frac{200 - 125}{24}$ z $\approx$ 3.13 ii) $P(z > 3.13)$ = $ 1 - P(z < 3.13)$ = $ 1- 0.9991$ = 0.0009 $P(x > 200) = P(z > 3.13) = 0.0009$
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