The variable of interest is the duration (in months) of stay in the united states during respondents’ final migration to the united states.

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The following data were drawn from the Mexican Migration Project, a collaborative research effort based at Princeton University and the University of Guadalajara, supported by the National Institute of Child Health and Human Development (NICHD) and the William and Flora Hewlett Foundation (http://mmp.opr.princeton.edu/Links to an external site.).
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 1 and 2 years in the United States during their final migration. This process was repeated 25 times. The results are presented below.
Sample
Ÿ
Sample
Ÿ
Sample
Ÿ
Sample
Ÿ
Sample
Ÿ
1
18.65
6
16.87
11
19.30
16
15.42
21
15.00
2
17.76
7
17.57
12
17.63
17
12.59
22
15.34
3
18.38
8
17.98
13
19.54
18
17.23
23
19.58
4
18.02
9
13.55
14
14.00
19
15.38
24
16.71
5
14.37
10
15.15
15
14.66
20
15.54
25
19.40
Without doing any calculations, if the population mean is 16 months, what is the expected mean of the sampling distribution?
On what basis did you formulate your answer to Question #1? Discuss which theorem talks about the relationship between the population mean and the mean of the sampling distribution.
Calculate the mean of the sample means as they are displayed in the table at the opening of this question set. Why does this value differ from the population mean?

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