College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN: 9781305652231
Author: R. David Gustafson, Jeff Hughes
Publisher: Cengage Learning
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O Mastering Biology L.. YouTube A random sample of companies in electric utilities (1), financial services (II), and food processing (III) gave the following information regarding annual profits per employee (units in thousands of dollars). II II 49.8 55.3 38.6 43.5 25.3 37.3 32.2 41.9 10.1 27.3 29.4 32.6 38.4 39,8 15.8 36.7 42.2 20.5 Shall we reject or not reject the claim that there is no difference in population mean annual profits per ermployee in each of the three types of companies? Use a 1% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: M1 - 2 - u3; H;: At least two means are equal. O Ho: H1 = 2 = Hai H: Exactly two means are equal. O Ho: H1 2 - M3; H: All three means are different. O Ho: - iz - a; H: Not all the means are equal. (b) Find SS7OT, SSpET, and SSw and check that SSTOT- SSoCT + 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.) dfeer dfw- MSBET MSw- 818 AM Type here to search 63°F 7/19/2021
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Transcribed Image Text:O Mastering Biology L.. YouTube A random sample of companies in electric utilities (1), financial services (II), and food processing (III) gave the following information regarding annual profits per employee (units in thousands of dollars). II II 49.8 55.3 38.6 43.5 25.3 37.3 32.2 41.9 10.1 27.3 29.4 32.6 38.4 39,8 15.8 36.7 42.2 20.5 Shall we reject or not reject the claim that there is no difference in population mean annual profits per ermployee in each of the three types of companies? Use a 1% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: M1 - 2 - u3; H;: At least two means are equal. O Ho: H1 = 2 = Hai H: Exactly two means are equal. O Ho: H1 2 - M3; H: All three means are different. O Ho: - iz - a; H: Not all the means are equal. (b) Find SS7OT, SSpET, and SSw and check that SSTOT- SSoCT + 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.) dfeer dfw- MSBET MSw- 818 AM Type here to search 63°F 7/19/2021
Find the value of the sample F statistic. (Use 3 decimal places.) What are the degrees of freedom? (numerator) j(denominator) (c) Find the p-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.025 < P value < 0.050 O 0.010 < P-value < 0.025 O 0.001 < P-valuc < 0.010 O P-value < 0.001 (d) Based on your answers in parts (a) to (c), wil you reject or fail to ejert the nuI hypothesis? O Since the p-value is greater than the level of signiflcance at a = 0. 101, we do not reject Ha O Since the P-value is less than or equal to the lovel of significance at a0.01, we select lig- O Since the P value is grcater than the level of significance at a = 0.01, we reject Ha O Since the P-value is less than or equal to the level of significance at a= 0.01, w-do not rejcct Ha (e) Interpret your conclusion in the context of the application. O At the 1% level of signlificance there is Insufficient evidence to conclude that the means are not all equal, O At the 1% level of significance there is sufficienl evidence to conclude that the means are all equal. O At the 1% level of significance there is insufficient evidence to conclude that the means are all equal. O At the 1% level of significance there is sufficient evidence to conclide that the means are not all equal. (1) Make a summary table for your ANOVA test.
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Transcribed Image Text:Find the value of the sample F statistic. (Use 3 decimal places.) What are the degrees of freedom? (numerator) j(denominator) (c) Find the p-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.025 < P value < 0.050 O 0.010 < P-value < 0.025 O 0.001 < P-valuc < 0.010 O P-value < 0.001 (d) Based on your answers in parts (a) to (c), wil you reject or fail to ejert the nuI hypothesis? O Since the p-value is greater than the level of signiflcance at a = 0. 101, we do not reject Ha O Since the P-value is less than or equal to the lovel of significance at a0.01, we select lig- O Since the P value is grcater than the level of significance at a = 0.01, we reject Ha O Since the P-value is less than or equal to the level of significance at a= 0.01, w-do not rejcct Ha (e) Interpret your conclusion in the context of the application. O At the 1% level of signlificance there is Insufficient evidence to conclude that the means are not all equal, O At the 1% level of significance there is sufficienl evidence to conclude that the means are all equal. O At the 1% level of significance there is insufficient evidence to conclude that the means are all equal. O At the 1% level of significance there is sufficient evidence to conclide that the means are not all equal. (1) Make a summary table for your ANOVA test.
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