Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 7 - Section 7.3 - Shape of the Sampling Distribution of x - Exercises - Page 288: 7.24

Answer

$\mu$= 140 dollars, σ = 30dollars, n = 25 households $\mu$ = $\mu$ _${\bar{x}}$= 140 dollars σ_${\bar{x}\ }$ = $\frac{30}{\sqrt 25}$ = 6 dollars The sampling distribution has a greater extent of normal distribution since it has a smaller standard deviation compared to the population distribution. In other words, the spread in the sampling distribution is smaller.

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