The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 19 - From Data Production to Inference: Part III Review - Test Yourself - Page 446: 19.23

Answer

(c) 322.35 to 391.65

Work Step by Step

Here we have n = 8, x̅ = 357, σ = 50 $σ_{x̅} = \frac{σ}{\sqrt n} = \frac{50}{\sqrt 8} = 17.68$ For the 95% confidence interval, we have z = 1.96 Upper Bound = 357 + (1.96)(17.68) = 391.65 Lower Bound = 357 - (1.96)(17.68) = 322.35
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