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 13.3 and a standard deviation of 2.6. (a) Identify the variable. number of self-employed individuals in the United States number of self-employed individuals number of educated individuals in the United States number of years of education (b) Find the mean and standard deviation of the sampling distribution of Q for a random sample of size 96. Mean = (1 decimal place) Standard Deviation = (3 decimal places) (c) Find the mean and standard deviation of the sampling distribution ofE for a random sample of size 381. Mean = (1 decimal place) Standard Deviation = (3 decimal places) (d) Describe the effect of increasing n. 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. a 381 is selected from this population, what is the probability that the sample average will be less than ' \\ ~ , (3 decimal places) a A