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Problem 1
Assume that breast cancer affects .8 percent of the female population between 40 and 50 years of age. There are two kinds of test results: true positive (you have it) and false positive (the test indicates you do have it, but you really do not). Assume Mammograms are 90% accurate at spotting people who have breast cancer (true positive), and are 93% accurate at spotting people who do not (true negative). What are the false negative and false positive accuracies? If a female tests positive for breast cancer, compute the likelihood that she indeed has the cancer.
Problem 2
A pair of dice is rolled. The sum of the faces on top is observed. What are the expectation, variance, and standard deviation of the observed sum? The Expectation and Variance Template attached to the main posting is optional and recommended.
If the level of significance is 0.05, what is critical value to set up the decision rule to test the claim that the liberal arts students perform better than engineering students on average?
Based on the earnings below, is there sufficient evidence to conclude, at the 99% level of confidence, that one of these divisions is more profitable than the others? Calculate the mean square for factor, and the mean square for error.
Enzymatic method: 13.1, 12.7, 12.6, 13.3, 13.3. GC method: 13.5, 13.3, 13.0, 12.9. Does the enzymatic method give the same value as the GC method at the 95% confidence level?
A recent study, "[b]ased on data from a survey of nearly 1,500 Boston men aged 18 to 35 years...found that 16 percent of the men - about one in six -- said they had abused their partner physically or sexually within the past year.
State the largest possible domain for the definition of the function. f(x,y) = cube-root(y^2-x)
The 587th of the 731 trees in the preserve was selected as the first observation in the sample. What is the tree number of the second observation in the sample?
Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1550 miles per month.
The Human Relations Department of Electronics Inc. would like to include a dental plan as part of the benefits package. The question is: How much does a typical employee and his or her family spend per year on dental expenses?
The Smoky Bear Trucking Company claims the average weight of a fully loaded moving van is 12,000 lb. The highway patrol decides to check this claim.
A statistics practitioner conducted a two-factor analysis of variance experiment with a =4, b = 3, and r = 8. The sum of squares are listed here:
Using a level of significance of .10, is there evidence that the population mean weight of the candy bars is greater than 7.3? Explain.
A prof. can't decide how to vote on a tuition increase for the students at her univ. The incrase is supposed to pay for new student parking and there appears to be mixed feelings. The prof.
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