To find: The distribution of the sample means of IQ scores.
Answer to Problem 3PT2
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.
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 7 Solutions
The Practice of Statistics for AP - 4th Edition
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