The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 19 - From Data Production to Inference: Part III Review - Supplementary Exercises - Page 450: 19.53a

Answer

According to Empirical Rule, in a normal distribution, 68% of the population is within one S.D, 95% of the population is within two S.D, and 99.7% of the population is within 3 S.D of the mean. Here, we have: μ = 3.3, σ = 0.8. Hence: 3.3 ± 3(0.8) = 0.9 to 5.7 Hence, 0.9 to 5.7 ratings are within this range.

Work Step by Step

According to Empirical Rule, in a normal distribution, 68% of the population is within one S.D, 95% of the population is within two S.D, and 99.7% of the population is within 3 S.D of the mean. Here, we have: μ = 3.3, σ = 0.8. Hence: 3.3 ± 3(0.8) = 0.9 to 5.7 Hence, 0.9 to 5.7 ratings are within this range.
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