Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 11 Data Analysis and Statistics - 11.3 Use Normal Distributions - 11.3 Exercises - Skill Practice - Page 760: 11



Work Step by Step

$\text{z-score}=\frac{\text{data item-mean}}{\text{standard deviation}}$ $|\frac{33-29}{4}|=|\frac{33-37}{4}|=1$, thus these are half the elements that are $1$ standard deviation away from the mean. The normal distribution is symmetric about the mean. Thus using the 68-95-99.7 rule and the graph we get: $P(\overline{x}-\sigma\leq x\leq\overline{x}+\sigma)=34\%+34\%=68\%$
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.