Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0321911210
ISBN 13: 978-0-32191-121-6

Chapter 6 - Confidence Intervals - Section 6.1 Confidence Intervals for the Mean - Exercises - Page 307: 43

Answer

The confidence interval would widen as the level of confidence increases

Work Step by Step

Increasing the confidence level means that the z-value for the confidence interval will also increase. Therefore, since the width of the confidence interval is directly proportional to the z-value of the level of confidence, the width of the interval would also increase. Thus resulting in the confidence interval widening as the level of confidence increases.
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