In: Statistics and Probability
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 12.8 and a standard deviation of 3.4.
(a) Find the mean and standard deviation of the sampling distribution of for a random sample of size 107. Mean = 12.8 Standard Deviation = 0.328
(c) Find the mean and standard deviation of the sampling distribution of for a random sample of size 397. Mean = 12.8 Standard Deviation = 0.170
(e) If a sample of size 397 is selected from this population, what is the probability that the sample average will be less than 13.1?
probability = ??
I think I have the right answers, except for (e). I have no idea how to do that, so a little help would be appreciated. Thank you!