da Silva-Castiglioni et al. (2010) investigated the effect of various diets on the biochemical composition of Hyalella bonariensis. In one part of the analysis, males of the species were subjected to 5 different diets for 45 days, then researchers measured the levels of lipoperoxidation. The researchers carried out a one-way ANOVA, and found a p-value of 0.00022. After that, they decided to apply the Tukey procedure to find confidence intervals for the pairwise differences in means at a family-wise confidence level of 95%. The results of the Tukey procedure are given below. ("lower" is the lower bound of the interval, "upper" is the upper bound.)

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da Silva-Castiglioni et al. (2010) investigated the effect of various diets on the
biochemical composition of Hyalella bonariensis. In one part of the analysis, males of
the species were subjected to 5 different diets for 45 days, then researchers
measured the levels of lipoperoxidation.
The researchers carried out a one-way ANOVA, and found a p-value of 0.00022.
After that, they decided to apply the Tukey procedure to find confidence intervals for
the pairwise differences in means at a family-wise confidence level of 95%. The
results of the Tukey procedure are given below. ("lower" is the lower bound of the
interval, "upper" is the upper bound.)
How many of these pairwise differences are statistically significant? (No calculations
required!)
lower
upper
Diet2-Diet1
-6.6421116 0.7321116
Diet3-Dietl
-9.4811116 -2.1068884
Diet4-Diet1
-8.1651116 -0.7908884
Diet5-Diet1
-3.5881116
3.7861116
Diet3-Diet2
-6.5261116
0.8481116
Diet4-Diet2
-5.2101116
2.1641116
Diet5-Diet2
-0.6331116
6.7411116
Diet4-Diet3
-2.3711116
5.0031116
Diet5-Diet3
2.2058884
9.5801116
Diet5-Diet4
0.8898884
8.2641116
3
4
7
Transcribed Image Text:da Silva-Castiglioni et al. (2010) investigated the effect of various diets on the biochemical composition of Hyalella bonariensis. In one part of the analysis, males of the species were subjected to 5 different diets for 45 days, then researchers measured the levels of lipoperoxidation. The researchers carried out a one-way ANOVA, and found a p-value of 0.00022. After that, they decided to apply the Tukey procedure to find confidence intervals for the pairwise differences in means at a family-wise confidence level of 95%. The results of the Tukey procedure are given below. ("lower" is the lower bound of the interval, "upper" is the upper bound.) How many of these pairwise differences are statistically significant? (No calculations required!) lower upper Diet2-Diet1 -6.6421116 0.7321116 Diet3-Dietl -9.4811116 -2.1068884 Diet4-Diet1 -8.1651116 -0.7908884 Diet5-Diet1 -3.5881116 3.7861116 Diet3-Diet2 -6.5261116 0.8481116 Diet4-Diet2 -5.2101116 2.1641116 Diet5-Diet2 -0.6331116 6.7411116 Diet4-Diet3 -2.3711116 5.0031116 Diet5-Diet3 2.2058884 9.5801116 Diet5-Diet4 0.8898884 8.2641116 3 4 7
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