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: 19.24

Answer

(b) 327.92 to 386.08

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 = 1.65 Upper Bound = 357 + (1.65)(17.68) = 386.172 Lower Bound = 357 + (1.65)(17.68) = 327.828
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