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Testing for Alzheimer s disease can be a long and expensive process, consisting of lengthy tests and medical diagnosis. Recently, a group of researchers (Solomon et al., 1998) devised a 7-minute test to serve as a quick screen for the disease for use in the general population of senior citizens. A patient who tested positive would then go through the more expensive battery of tests and medical diagnosis. The authors reported a false positive rate of 4% and a false negative rate of 8%.
a) Put this in the context of a hypothesis test. What are the null and alternative hypotheses?
b) What would a Type I error mean?
c) What would a Type II error mean?
d) Which is worse here, a Type I or Type II error? Explain.
e) What is the power of this test?
Use simulation to generate 500 values of this random variable X.- Is the simulated distribution indicative of the given probability distribution? Explain why or why not.
Several studies have proposed an extravehicular robot that could move around in a NASA space station and perform physical tasks at various worksites [9]. The arm is controlled by a unity feedback control with loop transfer function
What is a "success" in this situation and what is probability of success on a single trial?
Determine the 90% prediction interval for the calculus final exam score for an entering freshman who scored 70 on the math proficiency test and 500 on the quantitative portion of the SAT.
Determine whether a normal distribution or a t-distribution should be used or whether neither of these can be used to construct a confidence interval.
Identify the correct term for the type of bias being defined. Possible answers are selection bias, nonparticipation bias, and response bias.
What is the expected value and what does it measure? How is it computed for a discrete probability distribution? Describe the two basic laws of probability
Formulate a research hypothesis to test one population parameter and another to test two (or more) population parameters.
1. Can you think of some different alternatives that the ODA might consider for control ling the gypsy moths? 2. Describe a decision that you have had to make recently that was difficult. What were the major issues? What were your alternatives? Did..
Assume that the master budget for Cannondale shows total variable expenses of $10,000. The budget was based on production of 5,000 units. Cannondale sells all units it produces.
A researcher estimates an AR(1) model with an intercept and finds that the OLS estimate of Beta1 is 0.95, with a standard error of 0.002.
Mutual funds are classified as large-cap funds, medium cap funds, or small-cap funds, depending ont eh capitalizaiton of the companies in the fund.
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