You want to know if nearness to an Acacia tree is associated with a change in ant biomass. You randomly select Acacia trees. At each tree you count ants in two 1m×1m squares: one next to the tree and the other square 20m from the tree. The graph to the right shows the a normal-quantile plot for the # of ants near an Acacia. (A) Do these data appear to be normally-distributed? Briefly explain your answer. 1000 2000 3000 4000 (B) If you could not assume normality, what are two strategies you could use for this analysis (be specific, for instance men- tion the names of a statistical test that you would use). Data 1. 2.

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You want to know if nearness to an Acacia tree is associated with a change in ant biomass. You randomly select Acacia trees. At each tree, you count ants in two 1m × 1m squares: one next to the tree and the other square 20 meters from the tree. The graph to the right shows a normal-quantile plot for the number of ants near an Acacia.

(A) Do these data appear to be normally-distributed? *Briefly* explain your answer.

(B) If you could *not* assume normality, what are two strategies you could use for this analysis (be specific, for instance mention the names of a statistical test that you would use).
1.
2.

**Graph Explanation:**

The normal-quantile plot to the right shows how the distribution of the number of ants aligns with a normal distribution. The x-axis is labeled "Data," suggesting measurements of ant numbers, while the y-axis represents quantiles.

The plot shows a deviation from the straight line, indicating that the data may not be normally distributed. Points curve upwards at the start and diverge significantly at higher values, with several outliers. This pattern suggests skewness in the data distribution.
Transcribed Image Text:You want to know if nearness to an Acacia tree is associated with a change in ant biomass. You randomly select Acacia trees. At each tree, you count ants in two 1m × 1m squares: one next to the tree and the other square 20 meters from the tree. The graph to the right shows a normal-quantile plot for the number of ants near an Acacia. (A) Do these data appear to be normally-distributed? *Briefly* explain your answer. (B) If you could *not* assume normality, what are two strategies you could use for this analysis (be specific, for instance mention the names of a statistical test that you would use). 1. 2. **Graph Explanation:** The normal-quantile plot to the right shows how the distribution of the number of ants aligns with a normal distribution. The x-axis is labeled "Data," suggesting measurements of ant numbers, while the y-axis represents quantiles. The plot shows a deviation from the straight line, indicating that the data may not be normally distributed. Points curve upwards at the start and diverge significantly at higher values, with several outliers. This pattern suggests skewness in the data distribution.
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