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IQs revisited Based on the Normal model N(100, 16) describing IQ scores, what percent of

Stats Modeling the World | 4th Edition | ISBN: 9780321854018 | Authors: David E. Bock, Paul F. Velleman, Richard D. De Veaux ISBN: 9780321854018 481

Solution for problem 40 Chapter 5

Stats Modeling the World | 4th Edition

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Stats Modeling the World | 4th Edition | ISBN: 9780321854018 | Authors: David E. Bock, Paul F. Velleman, Richard D. De Veaux

Stats Modeling the World | 4th Edition

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Problem 40

IQs revisited Based on the Normal model N(100, 16) describing IQ scores, what percent of peoples IQs would you expect to be a) over 80? b) under 90? c) between 112 and 132?

Step-by-Step Solution:
Step 1 of 3

Sampling Distribution of P hat 1. Center­ P= mean of p hat 2. Spread Standard deviation of p hat = Square root over all (P(1­P)/n) 3. Shape­ p hat is “normal” meaning n multiplied by p or n(1­p) has to be greater or equal to ten. Should be bell­shaped. General Margin of error: Confidence level multiplier multiplied by standard error Hoping that the statistic is not wrong by more than the margin of error guessed Statistic: Guessing the parameter. Never know how wrong you might guess Standard error: approximation of standard deviation of p hat P hat = square root over all (p hat (1­p hate)/n) Confidence level population proportion 1. Statistic­ p h

Step 2 of 3

Chapter 5, Problem 40 is Solved
Step 3 of 3

Textbook: Stats Modeling the World
Edition: 4
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
ISBN: 9780321854018

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IQs revisited Based on the Normal model N(100, 16) describing IQ scores, what percent of