It is common lore in the Adirondack mountain region of New York that Avon's Skin So Soft hand lotion is a very effective repellant for black flies, Simulium venustum. To test this claim volunteers applied fixed amounts of a commercial repellant, N,N- diethyl-meta-toluamide (DEET) 20% (Treatment I), or Skin So Soft hand lotion (Treatment II) to their hand and arm, placing it in a chamber with 50 hungry black flies. The time until first bite in minutes is recorded below. Treatment I 5, 14, 6, 8, 8, 15, 13, 2 Treatmentll 3, 7, 10, 49, 2, 38, 6, 9 Are the repellants significantly different in their efficacy? Analyze using the Wilcoxon rank-sum test.

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**Title: Evaluating the Efficacy of Insect Repellents**

It is common lore in the Adirondack mountain region of New York that Avon’s Skin So Soft hand lotion is a very effective repellent for black flies, *Simulium venustum*. To test this claim, volunteers applied fixed amounts of a commercial repellent, N,N-diethyl-meta-toluamide (DEET) 20% (Treatment I), or Skin So Soft hand lotion (Treatment II) to their hand and arm, placing it in a chamber with 50 hungry black flies. The time until the first bite in minutes is recorded below.

- **Treatment I**: 5, 14, 6, 8, 8, 15, 13, 2
- **Treatment II**: 3, 7, 10, 49, 2, 38, 6, 9

**Objective**: Are the repellents significantly different in their efficacy? Analyze using the Wilcoxon rank-sum test.

Note: This analysis involves comparing two independent samples to determine if one tends to produce larger observations than the other. The Wilcoxon rank-sum test is a non-parametric test that can be used for this purpose when data do not necessarily follow a normal distribution.
Transcribed Image Text:**Title: Evaluating the Efficacy of Insect Repellents** It is common lore in the Adirondack mountain region of New York that Avon’s Skin So Soft hand lotion is a very effective repellent for black flies, *Simulium venustum*. To test this claim, volunteers applied fixed amounts of a commercial repellent, N,N-diethyl-meta-toluamide (DEET) 20% (Treatment I), or Skin So Soft hand lotion (Treatment II) to their hand and arm, placing it in a chamber with 50 hungry black flies. The time until the first bite in minutes is recorded below. - **Treatment I**: 5, 14, 6, 8, 8, 15, 13, 2 - **Treatment II**: 3, 7, 10, 49, 2, 38, 6, 9 **Objective**: Are the repellents significantly different in their efficacy? Analyze using the Wilcoxon rank-sum test. Note: This analysis involves comparing two independent samples to determine if one tends to produce larger observations than the other. The Wilcoxon rank-sum test is a non-parametric test that can be used for this purpose when data do not necessarily follow a normal distribution.
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