To target health-conscious consumers, a potato chips manufacturer tried four different fats to see which one was least absorbed by the potato chips during the deepfrying process. The following table shows the grams of fat absorbed by each 100 grams of potato chips.

Fat Absorbed (in grams)

Fat 1 64 72 68 77 56 95 Fat 2 78 91 97 82 85 77 Fat 3 75 93 78 71 63 76 Fat 4 55 66 49 64 70 68

a. Potato chips absorb Fat 2 the most and Fat 4 the least, with intermediate amounts of Fat 1 and Fat 3.

But there is a lot of overlap too. Help the manufacturer determine if there is a difference in the average fat absorbed by the potato chips by conducting a 5% significance level ANOVA analysis for it.

b. If your ANOVA test in part a shows that the means are not all equal, help the manufacturer to determine which population averages of fat absorbed by the potato chips are different at the same level of significance.