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 55.6 39.4 43.8 24.7 37.5 32.3 41.3 10.9 27.3 29.3 32.3 38.5 39.3 15.2 36.2 42.5 20.6 Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of the three types of companies? Use a 1% level of significance. (a) What is the level of significance? Correct: Your answer is correct. State the null and alternate hypotheses. Ho: μ1 = μ2 = μ3; H1: Not all the means are equal. Ho: μ1 = μ2 = μ3; H1: All three means are different. Ho: μ1 = μ2 = μ3; H1: Exactly two means are equal. Ho: μ1 = μ2 = μ3; H1: At least two means are equal. Correct: Your answer is correct. (b) 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? (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 Incorrect: Your answer is incorrect. (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 = 0.01, we do not reject H0. Since the P-value is less than or equal to the level of significance at α = 0.01, we reject H0. Since the P-value is greater than the level of significance at α = 0.01, we reject H0. Since the P-value is less than or equal to the level of significance at α = 0.01, we do not reject H0. Correct: Your answer is correct. (e) Interpret your conclusion in the context of the application. At the 1% level of significance there is insufficient evidence to conclude that the means are not all equal. At the 1% level of significance there is sufficient evidence to conclude that the means are all equal. At the 1% level of significance there is insufficient evidence to conclude that the means are all equal. At the 1% level of significance there is sufficient evidence to conclude that the means are not all equal. Correct: Your answer is correct. (f) Make a summary table for your ANOVA test. Source of Variation Sum of Squares Degrees of Freedom MS F Ratio P Value Test Decision Between groups Correct: Your answer is correct. Correct: Your answer is correct. Within groups Total
A random sample of companies in electric utilities (I), financial services (II), and food processing (III)...
There is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III 64 26 15 35 17 32 22 54 65 11 68 28 77 16 54 13 20 Shall we reject or not reject the claim that there...
Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 12 15 33 11 21 5 18 16 6 36 16 10 19 7 47 39 14 29 16 10 13 Shall we reject or not reject the claim that there is no difference in the population mean three-circle...
are U.S. workers? One way to answer this question is to study annual profits per in quipment (I11), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars). IV 27.3 13.8 22.2 17.3 23.4 9.5 20.6 16.6 14.6 12.7 15.3 7.3 1O.1 7.3 11.6 8.8 6.9 19.3 14.2 11.7 nal s e re eet or not reject the ciai n that there is no difference in populato n mean annual profits per employee...
Wind Mountain is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III 61 26 13 34 10 31 28 55 65 18 63 22 78 15 50 19 26 Shall we reject or not reject the claim that...
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 20 28 20 25 25 18 24 32 24 27 27 18 (a) Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use α =...
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 21 27 19 26 27 19 23 31 23 26 23 23 (a) Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use α =...
The highway department is testing two types of reflecting paint for concrete bridge end pillars. The two kinds of paint are alike in every respect except that one is orange and the other is yellow. The orange paint is applied to 12 bridges, and the yellow paint is applied to 12 bridges. After a period of 1 year, reflectometer readings were made on all these bridge end pillars. (A higher reading means better visibility.) For the orange paint, the mean...
There is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III 61 25 12 39 15 32 22 57 66 12 67 20 83 11 52 15 27 Shall we reject or not reject the claim that there...
A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age. x1: Rate of hay fever per 1000 population for people under 25 98 92 119 127 93 123 112 93 125 95 125 117 97 122 127 88 A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old. x2: Rate of hay fever per 1000 population for...
A comparison is made between two bus lines to determine if arrival times of their regular buses from Denver to Durango are off schedule by the same amount of time. For 51 randomly selected runs, bus line A was observed to be off schedule an average time of 53 minutes, with standard deviation 19minutes. For 61 randomly selected runs, bus line B was observed to be off schedule an average of 62 minutes, with standard deviation 15 minutes. Do the...