STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The mean and standard deviation of a population are 200 and 20, respectively. What is the probability of selecting 100 data values with a mean greater than 202?
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45%
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36%
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25%
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16%
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Explanation:
Detailed explanation-1: -Explanation: The standard deviation of a population is given as /(n)1/2 where n is the sample size and is the standard deviation of population. Substituting the values of n=16 and =50. we get =12.25.
Detailed explanation-2: -The Central Limit Theorem gives us an exact formula. The standard deviation of the sampling distribution of means equals the standard deviation of the population divided by the square root of the sample size.
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