According to a recentCurrent Population Reports, the population distribution of number of years of education for self-employed individuals in the United States has a mean of 13.6 and a standard deviation of 2.4.

1)Identify the random variableXwhose distribution is described here.

A) number of self-employed individuals in the United States

B) number of self-employed individuals

C) number of educated individuals in the United States

D) number of years of education

2) Find the mean and standard error of the sampling distribution offor a random sample of size 106.Mean= Standard error=

3)Find the mean and standard error of the sampling distribution offor a random sample of size 410. mean= standard error=

4)Describe the effect of increasingn.a) The mean increases.

b) The mean stays the same.

c) The mean decreases.

d) The standard error increases.

e) The standard error stays the same.

f) The standard error decreases.

5)If a sample of size 410 is selected from this population, what is the probability that the sample average will be less than 14? probability =