Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 6 - Normal Probability Distributions - 6-4 Sampling Distributions and Estimators - Basic Skills and Concepts - Page 283: 17

Answer

a) Proportion correct, probability 0, 16/25 0.5, 8/25 1, 1/25 b) $0.2$ c) Yes

Work Step by Step

a) First, we create the table: Proportion correct, probability 0, 16/25 0.5, 8/25 1, 1/25 b) We comput the mean: $mean=(0.5)(8/25)+(1/25)=0.2$ c) Yes, it does. As is the case in this problem and as always is the case, the mean of the sample distribution of the proportion is equal to the population proportion no matter what.
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