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A physician's health study of the effectiveness of aspirin in the reduction of heart attacks was begun in 1982 and completed in 1987. Of 11,037 male medical doctors in the United States who took one 325 mg buffered aspirin tablet every other day, 104 suffered heart attacks during the five-year period of the study. Of 11,034 male medical doctors in the United States who took a placebo (i.e., a pill that, unknown to the participants in the study, contained no active ingredients), 189 suffered heart attacks during the five-year period of the study. Is there evidence that the proportion having heart attacks is significantly lower for the male medical doctors in the United States who received the buffered aspirin every other day than for those who received a placebo? Does this lead you to believe that taking one buffered aspirin every other day is effective in reducing the incidence of heart attacks? Explain.
Develop a linear trend equation for the time series. Graph the time series and the linear trend equation. What appears to be happening to capital expenditures? What is the forecast one year, or four quarters, into the future?
The director of admissions at a large university advises parents of incoming students about the cost of textbooks during a typical semester.
Let x be N(µ,σ2 ) and consider the transformation x=log(y) or equivalently y=exp(x). Find the mean and the variance of y by first determining E(exp(x)) and E[(exp(x)^2 ], by using the moment generating function of x.
It is known that 60 percent of all registered voters in the 42nd congressional District are Republicans. There registered voters are selected at random from the district. Compute the probability that exactly 2 of the 3 selected are Republicans, u..
In an effort to counteract student cheating, the professor of a large class created four versions of a midterm exam, distributing the four versions among the students in the class.
Consider a random sample of size n from a normal distribution, Xi ~ N(m,9). a) Find the CRLB for the variances of unbiased estimators of m. b) Is the MLE, m(hat) = X(bar), a UMVUE of m?
A large retail corporation plans to sample sales receipts of its meat department to estimate the average size (in dollars) of a customer purchase. Previous analysis suggest that the standard deviation of the purchase amount is approximately $50.72..
The structure of a two factor study can be presented as a matrix with levels of one factor determining the rows and the levels of the second factor determining the columns. With this structure in mind, describe the mean differences that are evalua..
The Republican party is interested in studying the number of Republicans that might vote in a particular Congressional district. Assume that the number of voters is binomially distributed by party affiliation (either Republican or not Republican).
A manufacturer wishes to estimate the proportion of washing machines leaving the factory that is defective. How large a sample should she check in order to be 93 percent confident that the true proportion is estimated to within 0.014?
The following data represent the number of weed-eaters sold per month at a local garden shop and their prices
Initially the wheel rotates with an angular speed W, causing the block to rise with a linear speed v = 0.33 m/s. Find the moment of inertia of the wheel if the block rises to a height of = 7.9 before momentarily coming to rest.
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