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 (large) population are 200 and 20, respectively. If 100 data points are selected at random from this population, what is the probability that the mean of this sample will be 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: -In a normally distributed data set, you can find the probability of a particular event as long as you have the mean and standard deviation. With these, you can calculate the z-score using the formula z = (x – (mean)) / (standard deviation).
Detailed explanation-2: -With a sample size of 100, we can assume that mean heights will be normally distributed with a mean of 64 and a standard deviation of ¯x =2.5 / 100 = 0.25.
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