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), andbroadcasting (IV) gave the following data regarding annual profits per employee (units In thousarnds of dollars).IIIIIIV27.913.622.617.323.59.720.516.314.911.17.314.58.68.112.715.511.56.57.510.919.698Shall we reject or not reject the claim that there is no differenice in population mean annual profits per employee in each of the four types of companies? Usc a 5% level of significance.(a) What is the level of significance?State the null and alternate hypotheses,O 11: - H2 = M = gi H,: Exactly two means are equal.O I: ,- u, = = Hai H,: All four means are different.O H: - 2 = 3 = liai H,: Exactly three means are egual.O H,: H- H, H- Hai : Not all the means are equal.(b) Find SS7or SSET, and SSw and check that 55 = SSEr + Ssw. (Use 3 decimal places.)SS or =SS =SSw =Find d.f. BET d.f., MS RET,df BETand MS w. (Use 3 decimal places for MSaET, and MS)BETdfw =MS BET =|MS wFind the value of the saamnle statictic Ise 3 deciTial olaccs 110:48 AMP Type here to search梦 013"F Mostly sunny7/30/202136 Find the value of the sample F statistic. (Use 3 decimal places.)What are the degrees of freedom?(numerator)(denominator)(c) Find the p-value of the sample test statistic.O P-value > 0.100O 0.050 < p-value < 0.100O 0.025 < p-value < 0.050O 0.010 < P value < 0.025O 0.001 < P-value < 0.010O P-value < 0.001(d) Based on your answers in parts (a) to (c), will you reject or fail Lo reject the null hypothesis?O Since the P-value is greater than the level of significance at a = 0.05, we do not reject H.O Since the P-value is less than or equal to the level of significance at a = 0.05, we reject Ha-O Since the P-value is greater than the level of significance at a = 0.05, we reject HO Since the P-value is less than or equal to the level of significance at a0.05, we do not reject H(e) Interpret your conclusion in the context of the application.O At the 5% level of significance there is insufficient evidence to conclude that the means are not all equal.O At the 5% level of significance there is sufficient evidence to conclude that the means are all equal.O At the 5% level of significance there is insufficient evidence to conclude that the means are all equal.O At the 5% level of significance there is sufficient evidence to conclude that the means are not all equal.(f) Make a summary table for your ANOVA test.Degrees ofFroodomSource ofSum ofMSP ValueTestarlationSouarerDecicion

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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 thousunds of dollars). II II 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 7.5 10.9 19.6 98 Shall we reject or not reject the claim that there is no differenice in population mean annual profits per employee in cach of the four types of companies? Usc a 5% level of significance. (a) What is the level of significance? State the null and alternate hypotheses, O - 2 = = HaH, Exactly two means are equal. O 1 - , = H = Hai H,: All four means are difterent. OH: , H, -a-ai H,: Exactly three means are egual. O H, H H, Ha Hai ,: Not all the meats are equal. (b) Find SS rar SSET, and SS, and check that SSar = SSer+ Ss (Use 3 decimal places.) TOP SS 101 = SS = %3D SSw = Find d.f. pEp d.f. MSpEr and MSw: (Use 3 decimal plares for MSasn and MS) df BET dfw = MS RET 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 (1), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units In thousunds of dollars). II II 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 7.5 10.9 19.6 98 Shall we reject or not reject the claim that there is no differenice in population mean annual profits per employee in cach of the four types of companies? Usc a 5% level of significance. (a) What is the level of significance? State the null and alternate hypotheses, O - 2 = = HaH, Exactly two means are equal. O 1 - , = H = Hai H,: All four means are difterent. OH: , H, -a-ai H,: Exactly three means are egual. O H, H H, Ha Hai ,: Not all the meats are equal. (b) Find SS rar SSET, and SS, and check that SSar = SSer+ Ss (Use 3 decimal places.) TOP SS 101 = SS = %3D SSw = Find d.f. pEp d.f. MSpEr and MSw: (Use 3 decimal plares for MSasn and MS) df BET dfw = MS RET MS w-

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An economist wonders if corporate productivity in some countries is more volatile than in other countries. One measure of a company's productivity is annual percentage yield based on total company assets.A random sample of leading companies in France gave the following percentage yields based on assets. 4.6 5.4 3.4 3.1 2.4 3.5 2.8 4.4 5.7 3.4 4.1 6.8 2.9 3.2 7.2 6.5 5.0 3.3 2.8 2.5 4.5 Use a calculator to verify that the sample variance is s2 ≈ 2.109 for this sample of French companies.Another random sample of leading companies in Germany gave the following percentage yields based on assets. 3.3 3.2 3.2 4.1 5.4 5.5 5.0 5.4 3.2 3.5 3.7 2.6 2.8 3.0 3.0 2.2 4.7 3.2 Use a calculator to verify that s2 ≈ 1.077 for this sample of German companies.Test the claim that there is a difference (either way) in the population variance of percentage yields for leading companies in France and Germany. Use a 5% level of significance. How could your test conclusion relate to the…
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). I II III IV 27.9 13.5 22.2 17.9 23.2 9.6 20.5 16.4 14.7 11.1 7.7 14.5 8.3 8.9 12.7 15.9 11.8 6.5 7.7 10.6 19.1 9.5 What are the degrees of freedom? (numerator) (denominator)(c) Find the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.001 < P-value < 0.010 P-value < 0.001 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Since the P-value is greater than the level of significance at α = 0.05, we do not reject H0. Since the P-value is less than or equal to the level of significance at α = 0.05, we…
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An economist wonders if corporate productivity in some countries is more volatile than in other countries. One measure of a company's productivity is annual percentage yield based on total company assets.A random sample of leading companies in France gave the following percentage yields based on assets. 4.3 5.1 3.8 3.6 2.2 3.5 2.8 4.4 5.7 3.4 4.1 6.8 2.9 3.2 7.2 6.5 5.0 3.3 2.8 2.5 4.5 Use a calculator to verify that the sample variance is s2 ≈ 2.042 for this sample of French companies.Another random sample of leading companies in Germany gave the following percentage yields based on assets. 3.3 3.9 3.7 4.6 5.1 5.5 5.0 5.4 3.2 3.5 3.7 2.6 2.8 3.0 3.0 2.2 4.7 3.2 Use a calculator to verify that s2 ≈ 1.024 for this sample of German companies.Test the claim that there is a difference (either way) in the population variance of percentage yields for leading companies in France and Germany. Use a 5% level of significance. How could your test conclusion relate to the…
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A random sample of companies in electric utilities (I), financial services (II), and food processing (III) gave the following information regarding annual profits per employee (units in thousands of dollars). I II III 49.9 55.4 39.2 43.9 25.0 37.5 32.7 41.9 10.1 27.8 29.6 32.6 38.1 39.6 15.7 36.5 42.3 20.5 Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 3 decimal places.) What are the degrees of freedom? Find the P-value of the sample test statistic. Make a summary table for your ANOVA test.