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Problem: Let (X, Y) be jointly distributed inside the ellipse given by {(x, y) : ax2 + by2 = 1}. Find the marginal densities of X and Y and the conditional densities of Y given X and X given Y. Are X and Y correlated? Are they independent?
As a sample size approaches infinity, how does the student's t distribution compare to the normal z distribution? When a researcher draws a sample from a normal distribution, what can one conclude about the sample distribution? Explain.
The claim that ""40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job was available" is to be investigated at the 0.02 level of risk.
Identify your research question, your research (alternative) hypothesis, and your null hypothesis. Also, identify your independent and dependent variable.
the auto parts department of an automotive dealership sends out an average of 4.9 special orders daily.a what is the
business travelers use laptop computers on overnight business trips. State the hypotheses and test the assumption that two third of business travelers use a laptop (α = 0.05).
What percentage of the U.S. population in 2011 did not have health insurance and was between the ages of 18 to 24 years
The means appear to be very close, but not the variances. At α = .05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule.
Library staff has reported that much of the time the study rooms are empty, despite a full booking sheet. Frame a research question and state the objectives of the study.
Two or more are rated as outstanding. (b) None of the trainees are rated as unsatisfactory. (c) Two are rated outstanding, six are rated excellent/good, one is rated satisfactory.
Given the data set body-weight.sav, use SPSS to calculate the 90%, 95% and 99% confidence intervals for the mean of the variable weight.
suppose alice flips three fair coins and let x be the number of heads showing. suppose barbara flips five fair coins
cookie sales at a bakery follow a normal distribution with expected value of 10000 cookies. on 90 percent of days the
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