Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 9 - Section 9.2 - Assess Your Understanding - Applying the Concepts - Page 453: 52c

Answer

\[\left( 1-\alpha \right).100%\] confidence interval reflects that \[\left( 1-\alpha \right).100%\] of all the generated samples of size will contain the true value of 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 true value of population mean within their range.

Work Step by Step

The 100 random samples that are generated have been shown in the Minitab output sheet. On observing all the 100 samples, it can be noticed that 90% of them include the value of population parameter within their range. Only 10 out of 100 confidence intervals do not have the value of the parameter of population.
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