Elementary Statistics (12th Edition)

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

Chapter 6 - Normal Probability Distributions - Review - Chapter Quick Quiz: 9

Answer

0.0409.

Work Step by Step

By using the Central Limit Theorem, the sample mean has a mean of $\mu$ and standard deviation of $\frac{\sigma}{\sqrt n}$. $z=\frac{value-mean}{standard \ deviation}=\frac{4.444-4.457}{\frac{0.382}{\sqrt{25}}}=-1.74.$ Using the table, the probability of z being less than -0.52 is: 0.0409.
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