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In studying the behavior of air support roofs, the random variables X, the inside barometric pressure (in inches of mercury) and Y, the outside barometric pressure are considered. Assume that the joint density is given by
(i) Find E[X],E[Y],E[XY].
(ii) Are X, Y independent? Explain.
What is the 95% confidence interval estimate of the population mean cost for a prescription of Zocor?
Given the large difference between the two measures of central tendency, which of the two would you rely on in describing the average claim cost and why?
Find the power of the test designed to determine if the the new safety equipment is effective when the mean percent reduction is actually 2.3%. Assume that the population standard deviation is 12% and that α is 0.02. What is the power?
Find a probability that a randomly chosen student owns atleast one of the above vehicles. What is the probability that a randomly chosen student does not own a bike.
Compute the value of the sample correlation coefficient between weekly sales and shelf space. Is the correlation between weekly sales and shelf space significant at the .01 level of significance? What is the estimated regression equation?
A student passes the test if his/her grade is larger than or equal the passing grade. What score should she set as the lowest passing grade?
How do you classify statistical findings in order of power: nominal, ordinal, interval, and ratio? Give example by making up values.
From past experience, an automobile insurance company knows that a given automobile will suffer a total loss with probability .02, a 50% loss with probability .08, or a 25% loss with probability .15 during a year.
Obtain a test statistic and p -value. Interpret the results at α = .01.
Find the probability that a standard normal random variable will assume a value between: Find a z such that 70% of the area is above that value.
Trying to come up with the conditional probability for a problem that deals with court cases and number of appeals and reversals for a particular judge.
It is known that 6.3 percent of students who applied to UTC were not accepted. Determine the highest score of those who were denied acceptance?
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