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 472: 20.14

Answer

Stem plot of C-13 is appended below. We observe that it is roughly symmetric. Hence a t confidence interval can be used. Here we have n = 24, x̅ = -2.882, σ = 1.036, df = 23 and Confidence Level = 90% Using Table C of the book we have t* = 1.729 $σ_{x̅} = \frac{σ}{\sqrt n} = \frac{1.036}{\sqrt 24} = 0.21$ Lower Bound = -2.882 - (1.729)(0.21) = -3.245 Upper Bound = -2.882 + (1.729)(0.21) = -2.52

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