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According to a recent Current Population Reports, the population distribution of number of years of education...

According to a recent Current Population Reports, the population distribution of number of years of education for self-employed individuals in the United States has a mean of 13.9 and a standard deviation of 2.3.

(a) Identify the variable.

-number of years of education

-number of educated individuals in the United States

-number of self-employed individuals in the United States

-number of self-employed individuals

(b) Find the mean and standard deviation of the sampling distribution of for a random sample of size 95.   Mean (1 decimal place)   Standard Deviation (3 decimal places)

(c) Find the mean and standard deviation of the sampling distribution of for a random sample of size 417. Mean (1 decimal place) Standard Deviation (3 decimal places)

(d) Describe the effect of increasing n. (Select all that apply)

-The mean increases.

-The mean stays the same.

-The mean decreases.

-The standard deviation of the sampling distribution increases.

-The standard deviation of the sampling distribution stays the same.

-The standard deviation of the sampling distribution decreases.

(e) If a sample of size 417 is selected from this population, what is the probability that the sample average will be less than 14.2? (3 decimal places)

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