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: 7.23

Answer

$\mu$= 7.7minutes, σ = 2.1 minutes, n = 16 orders $\mu$ = $\mu$ _${\bar{x}}$= 7.7 minutes σ_${\bar{x}\ }$ = $\frac{σ}{\sqrt n}$ = $\frac{2.1}{\sqrt 16}$ = 0.525 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 sampling distribution is smaller.

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