Instructions: In all exercises, you may use a computer package (e.g., MegaStat, Minitab) or show Excel calculations in a worksheet, depending on your instructor’s wishes. Include relevant output or screen shots to support your answers. If you do the calculations yourself, show your work. State the hypotheses and give the test statistic and its two-tailed p-value. Make the decision. If the decision is close, say so. Are there issues of
The waiting time (in minutes) for emergency room patients with non-life-threatening injuries was measured at four hospitals for all patients who arrived between 6:00 and 6:30 p.m. on a certain Wednesday. The results are shown below. Research question: At α = .05, are the
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Applied Statistics in Business and Economics
- (c) Utilize Fubini's Theorem to demonstrate that E(X)= = (1- F(x))dx.arrow_forward(c) Describe the positive and negative parts of a random variable. How is the integral defined for a general random variable using these components?arrow_forward26. (a) Provide an example where X, X but E(X,) does not converge to E(X).arrow_forward
- (b) Demonstrate that if X and Y are independent, then it follows that E(XY) E(X)E(Y);arrow_forward(d) Under what conditions do we say that a random variable X is integrable, specifically when (i) X is a non-negative random variable and (ii) when X is a general random variable?arrow_forward29. State the Borel-Cantelli Lemmas without proof. What is the primary distinction between Lemma 1 and Lemma 2?arrow_forward
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