The closer the sample mean is to the population mean

Asked by admin @ 27/11/2021 in Mathematics viewed by 260 People

When sampling from a population, the sample mean will: Group of answer choices always be closer to the population mean as the sample size increases. likely be equal to the population mean if proper sampling techniques are employed. typically exceed the population mean. likely be different from the population mean.

Answered by admin @ 27/11/2021

Answer:

When sampling from a population, the sample mean will: be closer to the population mean as the sample size increases.

Step-by-step explanation:

The sample mean is not always equal to the population mean but if we increase the number of samples then the mean of the sample would become more and more closer to the population mean.

Usually the population size is very huge that is why we select a random sample from the population, care must be taken to ensure randomized sampling otherwise results would not be accurate. After that we have to make sure that the number of samples are enough for the given population size. The number of samples depends upon the shape of the population. If the population is normal than according to central limit theorem, a less number of samples would be enough to ensure normal distribution of sampling mean, otherwise a greater sample size will be required.

The closer the sample mean is to the population mean

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