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What is the relationship between the mean of a population and the mean of the sampling distribution of the sample mean?*1 pointThey are equal.They are reciprocals of each other.The mean of the population is twice the mean of the sampling distribution.The mean of the sampling distribution is the square root of the population mean.

Question

What is the relationship between the mean of a population and the mean of the sampling distribution of the sample mean?*1 pointThey are equal.They are reciprocals of each other.The mean of the population is twice the mean of the sampling distribution.The mean of the sampling distribution is the square root of the population mean.

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Solution

The relationship between the mean of a population and the mean of the sampling distribution of the sample mean is that they are equal.

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Suppose we take repeated random samples of size 20 from a population with a mean of 60 and a standard deviation of 8. Which of the following statements is true about the sampling distribution of the sample mean (x̄)? Check all that apply. The distribution is normal regardless of the shape of the population distribution, because the sample size is large enough. The distribution will be normal as long as the population distribution is normal. The distribution's mean is the same as the population mean 60. The distribution's standard deviation is larger than the population standard deviation of 8.

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