(show all work!!) 1. The body of the housefly is typically up to 50 mm in length
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(show all work!!)
1. The body of the housefly is typically up to 50 mm in length. So, we want to look at houseflies that have bodies shorter than their wings.
i. Estimate the percentage of wing lengths over 50 mm from the graph.
ii. Also, estimate the percentage of wing lengths over 50 mm using the normal approximation.
iii. How do these two percentages compare?
3. We will be looking at a set of 100 normally distributed housefly wing lengths from Sokal, R.R., and P.E. Hunter. 1955. A morphometric analysis of DDT-resistant and non-resistant housefly strains Ann. Entomol. Soc. Americ. 48: 499-507. Histogram of Housefly Wing Length 35 40 45 50 60 Length (mm)Explanation / Answer
Percentage of wings over 50 mm can be foudn from the graph as 3+1.5+0.5/ 50 = 10%
Mean looks like 45 mm from the graph.
Standard deviation looks like aroun 3.5 mm from the graph.
Z = (50-45)/3.5=1.42
P(Z>1.42) = 7.7%
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