Elementary Statistics (12th Edition)

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

Chapter 6 - Normal Probability Distributions - Review - Cumulative Review Exercises - Page 317: 1

Answer

a) $\$10,300,000$ b) $\$14,000,000$ c) $\$5,552,027$ d) $30,825,003,810,000$ dollars squared e) $z=0.76$ f) Ratio g) Discrete h) No

Work Step by Step

a) We find that the mean is: $1000\cdot\frac{14,500+14,500+14,000+5,000+3,500}{5}=10,300,000\$.$ b) The median is $14,000$, which conveerted to dollars is: $14,000\cdot1,000=$14,000,000\$. c) Using Microsoft Excel and converting the value from 1000's of dollars to dollars, we get a standard deviation of $5,552,027$. d) We square the value that we found in part c) to get $30,825,003,810,000$ dollars squared. e) $z=\frac{14,500,000−10,300,000}{5,552,027}=0.76$ f) This set of data can be described by a ratio level of measurement. g) The salaries are discrete data. h) The starters are generally the best 5 players, so their salaries are likely to be higher than the salaries of the rest of the team. Hence they are not.
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