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: 37

Answer

With 95% confidence, it can be said that the population mean replacement cost falls between \$2,532.20 and \$2,767.80

Work Step by Step

Formula for CI: $\bar{x}$ $\pm$ ( z$\times$$\frac{\sigma}{\sqrt n}$) $2650 \pm ( 1.96\times\frac{425}{\sqrt 50}$) = $2650 \pm 117.804$ CI: $2,532.196 < \mu < 2,767.804 \approx 2,532.20 < \mu < 2,767.80$ Interpretation: With 95% confidence, it can be said that the population mean replacement cost falls between \$2,532.20 and \$2,767.80
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