Four fertilizer brands are tested for their effect on plant growth, resulting in mean plant heights of 15.315.3 centimeters, 16.116.1 centimeters, 14.814.8 centimeters, and 15.715.7 centimeters. An ANOVA test is performed, and the null hypothesis of equal means is rejected. What does this outcome indicate?

Fertilizer brand 22 is significantly better than all the others.

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Visualizing Qualitative vs. Quantitative Data
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Two Proportions
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Steps in Hypothesis Testing

9. Hypothesis Testing for One Sample

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Problem 155Multiple Choice

Four fertilizer brands are tested for their effect on plant growth, resulting in mean plant heights of $15.3$ centimeters, $16.1$ centimeters, $14.8$ centimeters, and $15.7$ centimeters. An ANOVA test is performed, and the null hypothesis of equal means is rejected. What does this outcome indicate?

All fertilizer brands produce the same average plant height.

At least one fertilizer brand leads to a significantly different average plant height compared to the others.

Fertilizer brand $2$ is significantly better than all the others.

The differences in mean plant heights are due to random variation.

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