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Which of the following is NOT a property of the sampling distribution of the sample​ mean? Choose the correct answer below. A. The sample means target the value of the population mean. B. The expected value of the sample mean is equal to the population mean. C. The distribution of the sample mean tends to be skewed to the right or left. D. The mean of the sample means is the population mean.

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Answer:

B. The expected value of the sample mean is equal to the population mean.

Step-by-step explanation:

The expected value of the sample mean is equal to the population mean  is NOT a property of the sampling distribution of the sample.

This is about understanding properties of sampling distribution of sample mean.

Option A is not a Property of Sampling distribution of Sample mean.

  • Option A; The sample mean does not target the population mean because it is just an independent mean gotten from a sample of the population. This statement is not true.

  • Option B; This statement is true because when we carry out sampling distribution of sample mean, the mean of all sample means is called expected value and this is equal to the population mean.

  • Option C; This statement is true because there are two major skewness in distribution either to the left which is negative or the right which is positive.

  • Option D; This statement is true for the same reason given in Option B above.

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