1. Using the same scenario, suppose a random sample of 36 was selected.
   1. Construct/draw the theoretical sampling distribution of the mean for an N of 36. What is its mean? What is its standard deviation (i.e., standard error)?
   2. If using a sample of 36, what is the probability of selecting an income of $33,000 or above?
   3. If using a sample of 36, what is the probability of selecting an income of $28,000 or below?
   4. If using a sample of 36, what income represents the threshold of the highest 5% of expected mean incomes? (i.e., what income represents the 95^th percentile in the distribution of sample mean incomes?)
   5. If using a sample of 36, what income represents the threshold of the lowest 5% of expected mean incomes? (i.e., what income represents the 5^th percentile in the distribution of samples mean incomes?)