The mean of the all the sample means and the population mean willQuestion 6Select one:a.None of theseb.Characterized by the standard error of the mean.c.Always be equal. d.Always be normally distributed.
Question
The mean of the all the sample means and the population mean willQuestion 6Select one:a.None of theseb.Characterized by the standard error of the mean.c.Always be equal. d.Always be normally distributed.
Solution
The correct answer is c. Always be equal. This is a principle known as the Central Limit Theorem. It states that if you have a population with mean μ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will be true regardless of the shape of the population distribution. The mean of this distribution of sample means will be equal to the population mean.
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