The article “Iron and Manganese Present in Underground Water Promote Biochemical, Genotoxic, and Behavioral Alterations in Zebrafish” (Environ. Sci. Pollut. Res. 2019: 23555–23570) reports the following data on micronucleus frequency in the muscle tissues for zebrafish exposed to varying concentrations of iron and manganese. Micronuclei are a warning sign of possible DNA damage. There were J = 10 zebrafish in each group.

a. Perform an analysis of variance at the .01 significance level.

b. Apply Tukey’s method to determine which treatments result in significantly different mean micronucleus frequencies.

c. Suppose that 100(1 − ∝)% CIs for k different parametric functions are computed from the same ANOVA data set. Then it is easily verified that the simultaneous confidence level is at least 100(1 − k∝)%. Compute CIs with simultaneous confidence level at least 98% for the contrasts

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Treatment 1. Control 2. Fe 0.8 3. Fe 1.3 4. Mn 0.2 5. Mn 0.4 6. Fe 0.8/Mn 0.2 7. Fe 1.3/Mn 0.4 X 53.72 139.11 93.62 134.66 141.12 101.25 124.50 Si 4.30 6.41 4.49 13.20 8.32 15.41 9.60