The average price of a random sample of 12 bottles of Food A is $1.43. The standard deviation is $0.09. The average price of a random sample of 16 bottles of Food B is $1.03. The standard deviation is $0.10. At = 0.01, is there a significant difference in prices? a. State the hypotheses and identify the claim. b. Find the critical value and compare with the test value. c. Find the 99% confidence interval of the differences in the means. d. Make the decision about null hypothesis. e. Summarize the results and make a full sentence conclusion.