# HW13sol - IE300/GE331 Homework 13 Note The subjects with...

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IE300/GE331 Homework 13 1 * Note: The subjects with the same number are actually different individuals randomly selected.

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IE300/GE331 Homework 13 2 a) The box plots indicate that the different types of chocolate affect the total antioxidant capacity of blood plasma, especially the dark chocolate. b) The Minitab result is shown below. One-way ANOVA: DC, DC-MK, MC Source DF SS MS F P Factor 2 1952.6 976.3 93.58 0.000 Error 33 344.3 10.4 Total 35 2296.9 S = 3.230 R-Sq = 85.01% R-Sq(adj) = 84.10% Because the P-value (is close to 0) < 0.01 we reject H 0 and conclude that the type of chocolate has an effect on cardiovascular health at g = 0.05 or g = 0.01. c) The Minitab result is shown below. Fisher 95% Individual Confidence Intervals All Pairwise Comparisons Simultaneous confidence level = 88.02% DC subtracted from: Lower Center Upper -+---------+---------+---------+-------- DC+MK -18.041 -15.358 -12.675 (---*----) MC -18.558 -15.875 -13.192 (----*---) Chocolate Total antioxidant capacity of blood plasma MC DC-MK DC 125 120 115 110 105 100 95 90 Boxplot of DC, DC-MK, MC
IE300/GE331 Homework 13 3 -+---------+---------+---------+-------- -18.0 -12.0 -6.0 0.0 DC+MK subtracted from: Lower Center Upper -+---------+---------+---------+-------- MC -3.200 -0.517 2.166 (---*----) -+---------+---------+---------+-------- -18.0 -12.0 -6.0 0.0 The top intervals show differences between the mean antioxidant capacity for DC+MK – DC and MC – DC. Because these intervals are entirely within the negative range (do not include zero) there are significant differences between DC+MK and DC, and MC and DC. This implies that dark

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HW13sol - IE300/GE331 Homework 13 Note The subjects with...

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