a. b. C. (10 pts) A student clams that the average cost of men's athletic shoes is less than $80. He selects a random sample of 36 pairs of shoes from a catalog and nds that following costs (in dollars). Is there enough evidence to support the student's claim at a = 0.10? 60 70 75 55 80 55 50 40 80 70 50 95 120 90 75 85 80 60 110 65 80 85 85 45 75 60 90 90 60 95 110 85 45 90 70 70 State the claim statement in sentence. State the null and alternative hypothesis. Find the sample mean and sample standard deviation. Verify the requirements for hypothesis testing