Introductory Statistics 9th Edition

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

Chapter 7 - Section 7.1 - Sampling Distribution, Sampling Error, and Nonsampling Errors - Exercises - Page 280: 7.6

Answer

a. See Table b.Suppose we assign the letters A, B, C, D, E and F to the six ages (in years), so that A=15, B=21, C=25, D=28, E=53, F=55. $6C_{4}$=$\frac{6!}{4!(6-4)!}$ = $\frac{6*5*4*3*2*1}{4*3*2*1*2*1}$ = 15 The 15 possible samples of six ages are: ABCD, ABCE, ABCF, ABDE, ABDF, ABEF, ACDE, ACDF, ACEF, ADEF, BCDE, BCDF, BCEF, BDEF, CDEF C. From the table, the sample mean, $x ̅$, we can assume any of the values listed in the table with the corresponding probability. If sample mean $x ̅$= 30.75: Population mean = $(55+53+28+25+21+15)/6$ =32.83 Sampling error = $\bar{x}\ -\mu\ $= 32.83-30.75 = 2.08
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