Question: 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

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 (1), 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 27.6 13.1 22.1 17.3 23.7 9.8 20.3 16.1 14.3 11.5 7.8 14.2 8.1 8.4 12.6 15.5 11.1 6.5 7.8 10.7 19.1 9.5 USE SALT Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of the four types of companies? Use a 5% level of significance (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O Ho: My = H2 = H3 = HAi H, : All four means are different. O Ho: H 1 = H2 = H3 = H4i H, : Exactly two means are equal. O Ho: H1 = H2 = M3 = HAi H,: Exactly three means are equal. O Ho: H1 = H2 = H3 = H4i H, : Not all the means are equal. (b) Find SSTOT. (Round your answer to three decimal places.) SSTOT = 698.384 X Find SS BET. (Round your answer to three decimal places.) SS BET = 77.080 X Find SSw and check that SSTOT = SSBET + SSw. (Round your answer to three decimal places.) SSw = 621.303 X Find d.f. BET. d.f. BET = 3 Find d.f. w. d.f. w = 18 Find MS BET. (Round your answer to three decimal places.) MS BET = 25.693 X Find MSw. (Round your answer to three decimal places.) MS w = 34.517 X Find the value of the sample test statistic F (F ratio). (Round your answer to two decimal places.) 0.74 X What are the numerator degrees of freedom? d.f. N = 3 What are the denominator degrees of freedom? d.f. D = 18 (c) Find (or estimate) the P-value of the sample test statistic. OP-value 0.100 O 0.050 0.100 Do not reject Ho. groups X X Within 621.303 18 34.517 X groups X 698.384 Total 21 X

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