How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars) II III IV 27.9 13.6 22.6 17.3 23.5 9.7 20.5 16.3 14.9 11.1 7.3 14.5 8.6 8.1 12.7 15.5 11.5 6.5 19.6 7.5 10.9 9.8 Shall we reject or not reject the claim that there is no difference In population mean annual profits per employee in each of the tour types of companies? Use a 5% level of signiticance. (a) What is the level of significance? State the null and alternate hypotheses. O H H- H2- H - Hai H: Exactly two means are equa. O H: - H, - = Hai H, All four means are different. O I: , 2 a Hai H,: Exactly three means are equal. O H. - H2 = l, = Hai H: Not all the mcans are equal. (b) Find SSTor SSET and SSw SS ToT SS ET and check that SSTOT = SSar + SS w (Usc 3 decimal places.) TOP SSw= Find d.t. pET d.t. w MS prT MS ET and MS (Usc 3 decimal places for MSarn and MSw) df er BET dr MS BET MS W
How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars) II III IV 27.9 13.6 22.6 17.3 23.5 9.7 20.5 16.3 14.9 11.1 7.3 14.5 8.6 8.1 12.7 15.5 11.5 6.5 19.6 7.5 10.9 9.8 Shall we reject or not reject the claim that there is no difference In population mean annual profits per employee in each of the tour types of companies? Use a 5% level of signiticance. (a) What is the level of significance? State the null and alternate hypotheses. O H H- H2- H - Hai H: Exactly two means are equa. O H: - H, - = Hai H, All four means are different. O I: , 2 a Hai H,: Exactly three means are equal. O H. - H2 = l, = Hai H: Not all the mcans are equal. (b) Find SSTor SSET and SSw SS ToT SS ET and check that SSTOT = SSar + SS w (Usc 3 decimal places.) TOP SSw= Find d.t. pET d.t. w MS prT MS ET and MS (Usc 3 decimal places for MSarn and MSw) df er BET dr MS BET MS W
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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