Question 3

ANOVA can determine whether there is a significant difference in the output among the assembly lines.

ANOVA is specifically designed to test for significant differences between the means of three or more groups, making it the appropriate technique to compare the production output across the three assembly lines.

A) ANOVA can determine the reason one assembly line outperforms the others.

This option is incorrect because ANOVA does not identify the reasons for differences in performance; it only assesses whether there are statistically significant differences in the means of the groups being compared.

B) ANOVA can determine whether there is a significant difference in the output among the assembly lines.

This statement accurately reflects the purpose of ANOVA. It is used to analyze variance among multiple groups, allowing the plant manager to ascertain if there are significant differences in production output among the three assembly lines.

C) ANOVA can determine which assembly line has the most output.

This option is incorrect because ANOVA does not indicate which group has the highest mean; it only tests for significant differences between group means without specifying which group is superior.

D) ANOVA can determine the rate at which production is completed for each assembly line.

This option is also incorrect as ANOVA does not provide information on production rates; it is focused on comparing the means of outputs, not measuring completion rates.

Conclusion

The correct answer, B, clearly highlights the primary function of ANOVA in determining whether significant differences exist in output among the assembly lines. Options A, C, and D fail to capture the essence of ANOVA's capabilities, as they either misinterpret its purpose or overstate its analytical power. Thus, B is the only choice that correctly aligns with the analysis needs of the plant manager.