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In order to estimate the mean salary for a population of 500 employees, the managing director of a certain company selected at random a sample of 10 employees. We need to use the finite population correction factor in calculating the standard error of the sample mean.Group of answer choicesTrueFalse

Question

In order to estimate the mean salary for a population of 500 employees, the managing director of a certain company selected at random a sample of 10 employees. We need to use the finite population correction factor in calculating the standard error of the sample mean.Group of answer choicesTrueFalse

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Solution

The correct answer is "True". The finite population correction factor is used when the sample size is large relative to the population size. As a rule of thumb, it is applied when the sample size is more than 5% of the population size. In this case, the sample size of 10 is more than 5% of the population size of 500, so the finite population correction factor should be used in calculating the standard error of the sample mean.

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