Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 6 - Normal Probability Distributions - 6-5 The Central Limit Theorem: 14

Answer

a)0.9999 b)0.9641. Money cannot be saved.

Work Step by Step

a) $z_{2}=\frac{value-mean}{standard \ deviation}=\frac{22-18.2}{1}=3.8$ Using the table, the probability of z being less than 3.8: 0.9999. b) By using the Central Limit Theorem, the sample mean has a mean of $\mu$ and standard deviation of $\frac{\sigma}{\sqrt n}$. $z=\frac{value-mean}{standard \ deviation}=\frac{18.5-18.2}{\frac{1}{\sqrt{36}}}=1.8.$ Using the table, the probability of z being less than 1.8: 0.9641. The probability is high, but this doesn't mean that all men would fit in but that most of them would. Hence money cannot be saved.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.