The Basic Practice of Statistics 7th Edition

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

Chapter 20 - Inference about a Population Mean - Apply Your Knowledge - Page 461: 20.6b

Answer

Here we have n = 20, x̅ = 18.66, σ = 10.28, df = 19 and Confidence Level = 95% Using Table C of the book we have t* = 2.093 $σ_{x̅} = \frac{σ}{\sqrt n} = \frac{10.28}{\sqrt 20} = 2.3$ Lower Bound = 18.66 - (2.093)(2.3) = 13.85 Upper Bound = 18.66 + (2.093)(2.3) = 23.47

Work Step by Step

Here we have n = 20, x̅ = 18.66, σ = 10.28, df = 19 and Confidence Level = 95% Using Table C of the book we have t* = 2.093 $σ_{x̅} = \frac{σ}{\sqrt n} = \frac{10.28}{\sqrt 20} = 2.3$ Lower Bound = 18.66 - (2.093)(2.3) = 13.85 Upper Bound = 18.66 + (2.093)(2.3) = 23.47
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