Statistical Test: The three-way ANOVA is the statistical test used to determine if there is a difference in the mean worker exposure levels between each of the three different manufacturing processes. The F-test with an alpha level of.05 will be used to determine if a significant difference exists between the groups. The reported results of the F-test will include the F-value, the degrees of freedom, and the p-value. If the F-test determines that there is a difference between the groups, then the Tukey post hoc test will be run to determine where the significant difference exists between the pairs of means. The data must meet the following assumptions to conduct an ANOVA: Assumption 1: The dependent variable is continuous and is met by experimental…show more content… Assumption 5: The dependent variable should be approximately normally distributed. The Shapiro-Wilk test of normality will be used to test for this assumption. Assumption 6: The assumption of the homogeneity of variances will be tested using the Levene’s test for equality of variances. Question 2: Is there a difference in the size of barium titanate particles when conducting the hydrothermal, milling, and co-precipitation processes? Hypothesis: H2O: There is no statistically significant difference in the mean particle size of barium titanate generated during the three different processes used to manufacture barium titanate. H2A: There is a statistically significant difference in the mean particle size of barium titanate generated during the three different processes used to manufacture barium titanate. Variables: There is one nominal independent variable with three levels. The three different levels of the independent variable are the manufacturing process type: hydrothermal, milling, and
