ANOVA home task - 1

Scenario: An agricultural researcher wants to determine if three different brands of fertilizer (Brand A, Brand B, and Brand C) lead to different mean growth heights in tomato plants. To test this, the researcher selects 15 plants and randomly assigns 5 plants to each fertilizer brand. After four weeks, the growth (in inches) is recorded as follows:
Brand A
Brand B
Brand C
8
4
6
9
5
7
10
6
8
11
7
9
12
8
10
Follow the steps below to conduct a One-Way ANOVA to see if there is a significant difference between the three fertilizers:
1. State the Hypotheses: Define the Null Hypothesis () and the Alternative Hypothesis () for this experiment.
2. Calculate the F-Statistic
3. Using a significance level of