Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 9 - Section 9.3 - Hypothesis Tests About µ: σ Not Known - Exercises - Page 375: 9.46

Answer

$\bar{x}$ = 55, μ=58, $σ_\bar{s}$=$\frac{6}{\sqrt 70}$=0.7171, n=70 α = 0 , df = 70-1=69, critical value= 0 t =$\frac{\bar{x}-μ }{σ_\bar{s}}$= 55-58- 0.7171 = -4.18 for α = 0 Non rejection region = t =0 Rejection region = t != 0 t < 0, we reject H0 and conclude the current mean age of all CEOs of medium-sized companies in the United States is different from 58 years. b. α = 0.01/2 = 0.005 , df = 70-1=69, critical value= 2.649 Non rejection region = [-2.649,2.649] Rejection region = t 2.649

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