The following data provides last year's cheese consumption, in pounds, for some randomly selected Americans.

44 27 31 36 40 38 32 39 60 58 52 58 59 58 51 14 31 30 34 26 45 24 40 43 34 30 43 22 37 26 31 40 61 54 59 55 53 44 46 29 42 31 24 35 25 29 34 21 35 35 34 20 42 34 27 40 47 42 56 57 49 41 43 58 30 41 28 14 40 36 38 24 61 36 24 45 38 43 32 28 37 34 20 23 34 47 25 31

i. What is the point estimate for population mean cheese consumption?

ii. At = 0.02 level of significance determine if the mean cheese consumption is significantly different from 45. Use critical value approach

iii. If we want to estimate the same population mean cheese consumption with a margin of error of 10, what sample size should be used? Assume 96% confidence level.