Refer to Problem 24. The following table provides last year's cheese consumption, in pounds, for 35 randomly selected Americans.

a. At the 10% significance level, do the data provide sufficient evidence to conclude that last year's mean cheese consumption for all Americans has increased over the 2001 mean? Assume that σ = 6.9 lb. Use a z-test.
b. Given the conclusion in part (a), if an error has been made, what type must it be? Explain your answer.

45 28 32 37 41 39 33 32 31 35 27 46 25 41 35 3 44 23 38 27 32 43 32 25 36 26 30 35 36 36 35 21 43 35 28