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Biology and Environmental Science
A monarch butterfly may fly as many as 2000 miles during its migration to Mexico. These amazing creatures actually vary dramatically in weight, color, and even flying behavior. Previous research suggests the mean wingspan for a monarch butterfly is 50 mm with a standard deviation of 2.75 mm.
There is some speculation that changes in the environment (for example, pollution and climate) have caused greater variability in the wingspan. A random sample of monarch butterflies was obtained, and the wingspan of each (in mm) is given in the following table.
a. Is there any evidence that the variability in wingspan of the monarch butterfly has increased? Assume normality and use a = 0.05.
b. Find bounds on the p value associated with this hypothesis test.
Use double sampling to estimate the mean or total of a population of your choice in which an auxiliary variable exists that is easier to observe than the variable of interest.
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The weights of eggs produced on a farm are normally distributed with a mean of 1.4 ounces and a standard deviation of 0.4 ounces. How many 1200 eggs are within 2 standard deviations of the mean?
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A researcher determines that x2= 3.76 to test for significance for a phi correlation coefficient. What was the decision for this phi correlation test?
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Explain the effect that changes in η and β have on the shape of the Weibull density and the effect that they have on γ3 and derive an expression for the coefficient of skewness for the Weibull distribution.
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