Concept explainers
To find: The distribution of the sample means of IQ scores.
Answer to Problem 12PT
It is approximately
Explanation of Solution
Given:
Population mean (µ) = 122
Population standard deviation (s) = 5
Distribution is skewed to the left.
Concept used:
The central limit theorem states that sampling distribution of sample mean follows the normal distribution if the sample size is at least 30, irrespective of the nature of the distribution.
Calculation:
Here, sample size is large enough. Thus, the distribution of sample mean is approximately normally distributed.
The sampling distribution of the sample mean is:
Thus, the sampling distribution of sample mean is approximately normally distributed with mean = 122 and standard deviation = 0.35.
Hence, the correct option is (e).
Chapter 9 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Statistics for Psychology
Statistics: The Art and Science of Learning from Data (4th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
Statistics for Business and Economics (13th Edition)
Fundamentals of Statistics (5th Edition)
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