3. The following table presents the amounts of the contracts for soft drinks in local school districts. Assume that the amounts of contracts is normally distributed. Coca-Cola Pepsi 46 120 80 500 100 59 420 285 57 19 120 95 a) (10 pts) Is it plausible to assume that the variance of the contracts for Coca-Cola and Pepsi are equal? Conduct a hypothesis test to check this claim. You can use critical value or P-value approach. Take significance level as 2%. b) (10 pts) Based on your result in (a), can we assume the mean amount of contracts for Coca-Cola is less than the mean amount of contracts for Pepsi in all local school districts? Conduct a hypothesis test to check this claim. Take significance level as 2%. You can use critical value or P-value approach.