Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 6 - Review - Review Exercises - Page 356: 7f

Answer

No, it is not unusual.

Work Step by Step

According to the previous item: $E(X)=120$ and $σ_X=6.928$ $np(1-p)=200\times0.6\times0.4=48\gt10$. The probability histogram is bell shaped (see blue rectangle on page 343). So, there is a probability of 95% that the number of successes is between $μ_X-2σ_X=120-2\times6.928=106.144$ and $μ_X+2σ_X=120+2\times6.928=133.856$. But, 110 is between 106.144 and 133.856. It would be unusual if more than 133 or less than 107 women believed that the minimum driving age should be 18. (See Empirical Rule on page 148)
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