Chapter 6: Q. 6.84 (page 269)
In this section, we mentioned that the total area under any curve representing the distribution of a variable equals . Explain why.
The total probability of a variable equals one is a well-known fact.
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Use Table to obtain the areas under the standard normal curve. Sketch a standard normal curve and shade the area of interest in each problem.
Find the area under the standard normal curve that lies
a. either to the left of or to the right of .
b. either to the left of or to the right of .
We have provided a normal probability plot of data from a sample of a population. In each case, assess the normality of the variable under consideration.
30. Northwest Atlantic Cod. Researchers M. Kroll et al. studied the influence of paternity on rates of mortality and development in eggs and larvae of Northwest Atlantic cod in the article, "Paternal Effects on Early Life History Traits in Northwest Atlantic Cod, Gadus morhua" (Journal of Applied Ichthyology, Vol. 29. Issue 3. pp. 623629). A sample of adult male Northwest Atlantic cod was collected in Nova Scotia, Canada. The following table gives the lengths, in centimeters , of the cod sampled.
a. Using Table III in Appendix A. construct a normal probability plot of the given data.
b. Use part (a) to identify any outliers.
c. Use part (a) to assess the normality of the variable under consideration.
Determine the two scores that divide the area under the standard normal curve into a middle area and two outside areas.
We have provided a normal probability plot of data from a sample of a population. In each case, assess the normality of the variable under consideration.
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