Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 9 - Section 9.1 - Assess Your Understanding - Applying the Concepts - Page 438: 42e

Answer

Nearly 95% of all the generated confidence intervals will have the value of true population parameter. 931 of the 1000 random samples contain the value of the population mean within their range.

Work Step by Step

A \[\left( 1-\alpha \right).100%\] confidence interval reflects that \[\left( 1-\alpha \right).100%\] of all the generated samples of n size will contain the value of true population parameter within the range of the confidence interval. Therefore, for the given problem, it is reasonable to say that approximately 95% of all the produced confidence intervals will have the value of population proportion within their range. The 1000 random samples that are generated have been shown in the Minitab output sheet.
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