Question: The following are the tax refunds (or payments; i.e. (125) = negative number; therefore (125) is equal to -125) from a population of people who had H&R Block complete their tax returns:

325 (125) (62) (71)

390 320 480 1163

800 (92) 720 820

700 1400 1100 310

1200 1300 1272 760

a) Make a histogram Show your data table and the histogram graph. Show all of your calculations for full credit. Show the following in your data table: Class, Frequency, Individual Percentage, Cumulative Percentage. You can include Cumulative Frequency if you want. For Percentages go out to one decimal place.

b) Calculate the average and standard deviation; assume a normal distribution. Show all of your equations and calculations for full credit. Go out to 3 decimal places.

c) Assuming a normal distribution, if I sample another 4 tax returns, what is the probability that the average of those 4 is less than 450? Show all of your equations and calculations for full credit. Go out to 4 decimal places.

d) I get a bonus of $50 for every return I complete with a refund over $750. I prepare 500 tax returns. What is my expected bonus? Show all of your equations and calculations for full credit. In calculations, go out to 4 decimal places, for final answer go out to whole dollars.