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Given two original random variables X and Y, suppose that we modify one of them by adding a constant: W = a + X. How does cov(W,Y) compare to cov(X,Y)?
a. Use algebra and linearity of the expectation operator to find the answer.
b. Explain how the transformation affects the drawing of the scatterplot we used to develop our understanding of covariance, and therefore why the answer to part a. should be expected.
For a disease such as pancreatic cancer, which is highly fatal and of short duration:
Two automatic dispensing machines are being considered for use in a fast-food chain. The first dispenses an amount of liquid that has a normal distribution with a mean of 11.9 ounces and a standard deviation of 0.07 ounces.
What is the critical F value for a sample of four observations in the numerator and seven in the denominator? Use a one-tailed test and the .01 significance level.
Management at the Kansas City Corporate office for tax prepration wants to accomplish a business objective by conduting a study of the waiting time in its tax offices in different states.
six applications for admission to a local university are checked and it is determined whether each applicant is male
What are the key conceptual differences between these 3 methods? In other words, under what conditions do we choose each method for our analysis, and why?
An infestation of a certain species of caterpillar called the spruce budworm can cause extensive damage to the timberlands of the northern United States. It is known that an outbreak of this type of infestation occurs, on the average, every 30 yea..
a particular pitching machine is manufactured so that it will throw the ball into the strike zone of a 6-foot batter 90
lay out the design for two between-subjects experiments a an experiment involving an experimental group and a control
what is the estimated standard error for a sample of n 4 scores with a variance of s2 36?a. the square root of 363b.
Can you determine the exact number of days that it rained? Can you conclude anything about the number of days that it rained? Explain.
Suppose that in order to satisfy legal requirements, a meat pie manufacturer may only produce .2% of pies below a weight of 750grams. If the preceding holds and if the weight of all pies is normally distributed with a standard deviation of 50 gram..
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