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The number of times that an individual contracts a cold in a given year is a Poisson random variable with parameter λ = 5. Suppose a new wonder drug (based on large quantities of vitamin C) that has just been marketed reduces the Poisson parameter to λ = 3 for 75 percent of the population. For the other 25 percent of the population, the drug has no effect on colds. If an individual tries the drug for a year and has 2 colds in that time, what is the probability that the drug is beneficial to that individual?
At the .05 significance level, is the number of units produced on the afternoon shift larger?
Be sure to specifically identify the statistical formulas and what additional data you would need to determine your estimate(s).
Illustrate that probability distribution of X satisfies properties of a discrete probability distribution.
Is the number of children that a college student currently has independent of the type of college or university being attended?
Generate a 95% confidence interval for the difference in mean HDL levels between men when exercise regularly and those who do not.
Caculate the expected value of the profit made by the insurance company. Many call this kind of situation a win win opportunity for the insurance company and the promoter. Do you agree? Explain.
What is the probability that a new cup will overflow when filled by the automatic dispenser? At what value should the mean amount dispensed by the machine be set to satisfy this wish?
Response being average of morning and evening speeds. At each interchange, three settings of traffic lights are allotted at random to three Tuesdays. Examine the results using more traditional split-plot method.
There is some concern that exposure to gases used in anesthesiology might be harming health of anesthesiologists. In one study of 525 Michigan nurse anesthesiologists, 10 reported a new malignancy other than skin cancer during the previous year.
In testing the equality of the two means below, what is the test statistic? (Use the unequal variances formula)
Population of consumers where 30% of them favored a new product and 70% of them disliked it. If 20 persons are sampled, what are the probabilities of finding: Binomial
Given the Life expectancy data for the countries of the E.U., can we conclude that the mean Life Expectancy in the U.S. is greater than the mean Life expectancy in the E.U.?
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