In a study analyzing the effects of treatment type (A, B, C) and dosage (low, medium, high) on patient recovery time, the ANOVA table reports p-values of $0.07$ for treatment type, $0.001$ for dosage, and $0.62$ for the interaction. What is the correct interpretation?

Suppose you conduct a two-way ANOVA on a dataset and then multiply every value in the dataset by a constant factor of $2$. What effect does this transformation have on the $F$-statistics and $p$-values in the ANOVA results?

A researcher conducts a $2\times 2$ factorial experiment to measure tomato yield under two fertilizer types (Fertilizer A vs. Fertilizer B) and two watering schedules (Daily vs. Weekly). He observes the following:

(i) Under Daily watering, Fertilizer A produces higher yield than Fertilizer B.

(ii) Under Weekly watering, Fertilizer A produces lower yield than Fertilizer B.

Which statement best describes what has occurred?

Suppose you are conducting a two-way ANOVA on a dataset with three treatments and four blocks. If the last observation in the third treatment and the second block is altered to be an extreme outlier, what is the most likely effect on the results of the two-way ANOVA?

Given a two-way ANOVA summary where MS_interaction = 0.0336 and MS_error = 0.0103, compute the F-statistic for the interaction and state the correct conclusion at alpha = 0.05 (use that the calculated p-value ≈ 0.056).