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Are large companies more profitable per dollar of assets? The largest 500 companies in the world were ranked according to their number of employees, with groups defined as follows: Small = Under 25,000 employees, Medium = 25,000 to 49.999 employees, Large = 50,000 to 99,000 employees, Huge = 100,000 employees or more. An ANOVA was performed using the company’s profit-to-assets ratio (percent) as the dependent variable. (a) What kind of ANOVA is this (one-factor, two-factor, etc.)? (b) What is your conclusion about the research question? Explain, referring either to the F test or p-value. (c) What can you learn from the plots that compare the groups? (d) Do you think the variances can be assumed equal? Explain your reasoning. (e) Perform Hartley’s test to test for unequal variances. (f) Which groups of companies have significantly different
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Applied Statistics in Business and Economics
- AP1.2 A child is 40 inches tall, which places her at the 90th percentile of all children of similar age. The heights for children of this age form an approximately Normal distribution with a mean of 38 inches. Based on this information, what is the standard deviation of the heights of all children of this age? 0.20 inches (c) 0.65 inches (e) 1.56 inches 0.31 inches (d) 1.21 inchesarrow_forwardAP1.1 You look at real estate ads for houses in Sarasota, Florida. Many houses range from $200,000 to $400,000 in price. The few houses on the water, however, have prices up to $15 million. Which of the following statements best describes the distribution of home prices in Sarasota? The distribution is most likely skewed to the left, and the mean is greater than the median. The distribution is most likely skewed to the left, and the mean is less than the median. The distribution is roughly symmetric with a few high outliers, and the mean is approximately equal to the median. The distribution is most likely skewed to the right, and the mean is greater than the median. The distribution is most likely skewed to the right, and the mean is less than the median.arrow_forwardDuring busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?arrow_forward
- Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanksarrow_forward28. (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.arrow_forward1. Let X and Y be random variables and suppose that A = F. Prove that Z XI(A)+YI(A) is a random variable.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt