STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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True
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False
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Either A or B
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None of the above
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Detailed explanation-1: -Also, the mean of the sampling distribution of the statistical means and the mean of the sample population are always equal.
Detailed explanation-2: -The mean of the sampling distribution is equal to the population mean, and the variance of the sampling distribution is equal to the population variance divided by the sample size. These facts are summarized in the Central Limit Theorem.
Detailed explanation-3: -1) The sampling distribution of the mean will have the same mean as the population mean. Formally, we state: µ¯x = µx. This just means what I said earlier, that the mean is unbiased, so that sample means will be, on average, equal to the population mean.
Detailed explanation-4: -Answer and Explanation: The statement ‘the best estimate of the population parameter (population mean) is the calculated sample average’ is true. It is because population mean and sample average are the same thing and are calculated by adding the sample values and dividing it by the number of total values.