In a large population of college-educated adullts, the mean IQ is 118 with stand

Question

In a large population of college-educated adullts, the mean IQ is 118 with standard deviation 20. Suppose 200 adults from this population are randomly selected for a market research campaign. The distribution of the sample mean IQ is exactly

a. Normal with mean 118, standard deviation 20. approximately

b. Normal with mean 118 and standard deviation 0.1 approximately

c. Normal with mean equal to the observed value of the sample mean and standard deviation 20.

d. approximately Normal with mean 118 and standard deviation 1.414.

Explanation / Answer

Mean of 200 sample = mean of population = 118

Standard deviation of 200 sample = standard deviation of population / sqrt(200) = 20 / sqrt(200) = 1.414

Option-D) is the correct choice

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