You examine shelf and aisle positions within the milk aisle for the purchase of toys in a supermarket You test the probability of a mother with children purchasing a toy vs a low probability (1/20) Position 1 low 1 med 1 high 2 low 2 med 2 high 3 low 3 med 3 high mmmm Using a false discovery rate of .05 list the distance (1,2,or 3) and the shelf height (low, med, or high) which would be good places to stock shelves with your toys. Assume P values are independent. (20 points) If a standard cow yields 200 pounds of meat with a standard deviation of 50 lbs. A cattle breeder tells you his cows yield much more meat. Set up a test with 9 cows to test at the .1 level that they yield more meat. Assuming the same standard deviation what is the power of your test if the cows yield 225 pounds of meat on average, if they yield 250 pounds of meat, and if they yield 275 pounds of meat (20 points) Suppose the cows you tested in problem 4 gave a sample standard deviation of 90 pounds. What is a 95% confidence interval for standard deviation. Does it include 50 pounds? (20 points)