Question

The variable of interest is the duration (in months) of stay in the United States during respondents’ final migration to the United States. A random sample of five respondents was drawn among those who spent between one and two years in the United States during their final migration. This process was repeated 25 times. The results are presented below.

A. Without doing any calculations, if the population mean is 16 months, what is the expected mean of the sampling distribution?

B. On what basis did you formulate your answer to A? Discuss which theorem talks about the relationship between the population mean and the mean of the sampling distribution.

C. Calculate the mean of the sample means as they are displayed in the table at the opening of this question set.

I. Explain why your answer to C is not exactly 16.

Answer 1

ANSWER:

A.) Without doing any calculations, if the population mean is 16 months, what is the expected mean of the sampling distribution?

Ans.) The expected mean of the sampling mean of the sampling distribution will be 16 months.

B. On what basis did you formulate your answer to A? Discuss which theorem talks about the relationship between the population mean and the mean of the sampling distribution.

Ans.) The "Central limit theorem" talks about the relationship between the population mean and the mean of the sampling distribution.