Applied Statistics in Business and Economics
5th Edition
ISBN: 9781259329050
Author: DOANE
Publisher: MCG
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Chapter 15, Problem 29CE
To determine
State the null and alternative hypothesis.
Find the degrees of freedom for the
Find the critical value of chi-square from Appendix E or from Excel’s
Calculate the chi-square test statistics at 0.05 level of significance.
Interpret the p-value.
Check whether the two tables agree that ROI and sales growth are independent or not.
Check whether the conclusion is sensitive to the level of significance chosen, identify the cells that contribute to the chi-square test statistic and check for the small expected frequencies.
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28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
Chapter 15 Solutions
Applied Statistics in Business and Economics
Ch. 15.1 - Instructions: For each exercise, include software...Ch. 15.1 - Instructions: For each exercise, include software...Ch. 15.1 - Instructions: For each exercise, include software...Ch. 15.1 - Instructions: For each exercise, include software...Ch. 15.1 - Prob. 5SECh. 15.2 - U.S. market share for smartphones with larger...Ch. 15.2 - Prob. 7SECh. 15.3 - Prob. 8SECh. 15.3 - Prob. 9SECh. 15.3 - In a three-digit lottery, each of the three digits...
Ch. 15.3 - Prob. 11SECh. 15.4 - Excel was asked to generate 50 Poisson random...Ch. 15.4 - Prob. 13SECh. 15.4 - Prob. 14SECh. 15.5 - Exam scores of 40 students in a statistics class...Ch. 15.5 - One Friday night, there were 42 carry-out orders...Ch. 15.6 - Prob. 17SECh. 15.6 - Prob. 18SECh. 15 - Prob. 1CRCh. 15 - Prob. 2CRCh. 15 - Prob. 3CRCh. 15 - Prob. 4CRCh. 15 - Prob. 5CRCh. 15 - Prob. 6CRCh. 15 - Prob. 7CRCh. 15 - Prob. 8CRCh. 15 - Prob. 9CRCh. 15 - Prob. 10CRCh. 15 - (a) Name potential advantages of the...Ch. 15 - (a) What does a probability plot show? (b) If the...Ch. 15 - (a) Name two advantages of the Anderson-Darling...Ch. 15 - Prob. 19CECh. 15 - Prob. 20CECh. 15 - Prob. 21CECh. 15 - Prob. 22CECh. 15 - Prob. 23CECh. 15 - Prob. 24CECh. 15 - Instructions: In all exercises, include software...Ch. 15 - Prob. 26CECh. 15 - Prob. 27CECh. 15 - Prob. 28CECh. 15 - Prob. 29CECh. 15 - Prob. 30CECh. 15 - Prob. 31CECh. 15 - Prob. 32CECh. 15 - Prob. 33CECh. 15 - Prob. 34CECh. 15 - Prob. 35CECh. 15 - Prob. 36CECh. 15 - Prob. 37CECh. 15 - Prob. 38CECh. 15 - Instructions: In all exercises, include software...Ch. 15 - Prob. 40CE
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- 19. Let X be a non-negative random variable. Show that lim nE (IX >n)) = 0. E lim (x)-0. = >arrow_forward(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_forward
- 26. (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_forward
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