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 weight distribution of Unicorns is approximately normal with a mean of 1, 000 lbs. and a standard deviation of 25 lbs. In a group of 20 randomly selected unicorns, what is the standard deviation of the sampling distribution ("sigma of x bar")?
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25
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1.25
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5.59
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4
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Explanation:
Detailed explanation-1: -The sampling distribution of x bar must be a normal distribution with a mean 0 and a standard deviation 1. A sample statistic is an unbiased point estimate of a population parameter if the mean of the population of all possible values of the statistic equals the population parameter.
Detailed explanation-2: -What is the probability that x is more than 1 standard deviation from its mean value? Summary: The probability of the mean of x being beyond one (z =1) is given by the areas under the normal distribution curve beyond 1 from the mean value of x. The probability of this happening is 0.3174 of 31.74%.
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