Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0321911210
ISBN 13: 978-0-32191-121-6

Chapter 6 - Confidence Intervals - Section 6.1 Confidence Intervals for the Mean - Exercises - Page 306: 39

Answer

The CI in question 37 is smaller.

Work Step by Step

Formula for CI $\bar{x}$ $\pm$ ( z$\times$$\frac{\sigma}{\sqrt n}$) = $2,650 \pm ( 1.96\times\frac{425}{\sqrt 80}$) = $2,650 \pm 93.132$ CI: $2,556.868 < \mu < 2,743.132 \approx 2,556.87 < \mu < 2,743.13$ The CI in question 37 is smaller because it has a lower sample size. A sample size of n = 50 gives less information about the population then a sample size of n = 80.
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