From a population of size 1,000, a random sample of 100 items is selected.The mean of the sample

A) must be 10 times smaller than the mean of the population.
B) must be equal to the mean of the population, if the sample is truly random.
C) must be 10 times larger than the mean of the population.
D) can be larger, smaller or equal to the mean of the population.

Question

​From a population of size 1,000, a random sample of 100 items is selected.The mean of the sampleA)  ​must be 10 times smaller than the mean of the population.B)  ​must be equal to the mean of the population, if the sample is truly random.C)  ​must be 10 times larger than the mean of the population.D)  ​can be larger, smaller or equal to the mean of the population.

AaiTech Solution · Accepted Answer

Final Answer : D, Explanation :  The mean of a sample can vary due to random sampling variability, meaning it can be larger, smaller, or equal to the population mean, depending on the specific items selected in the sample.

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