7. [-/26 Points] DETAILS BBUNDERSTAT11 10.5.004. A random sample of companies in electric utilities (1), financial services (1!), and food processing (III) gave the following Information regarding annual profits per employee (units In thousands of dollars) II III 49.8 55.5 39.0 43.1 24.5 37.8 32.9 41.3 107 29.5 373 38.6 39.3 15.1 36.3 42.2 20.1 shall we reject or not reject the claim that there is no difference in popu companies? Use a 55% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. 0 Hip - 12 - And Hy: Exactly two means are equal. O He: 1 - 12 - My: H: At least two means D Ha: ps - 12 - pg; Hy: Not all the moons are equal. O He: p: - 12 - py; Hy: All three means are different. (b) Find SStop S5acne and SS, and check that SStay - S5pry + 95,. (Use 3 decimal places.) SSTOT - SSPIT - Find d.farr. d.f.we MSarr, and MS,. (Use 3 decimal places for MSagr, and MS,.) diw - MS Find the value of the sample F statistic. (Use 3 decimal places.) What are the degrees of freedom? (numerator) (denominator) c) Find the A-value of the sample test statistic. (Use 4 decimal places.) c) Based on your answers in parts (a) to (C), will you reject or fall to reject the null hypothesis? Q Since the P value is greater than the level of significance at a - 0.05, we do not reject Ho. D Since the Pvalue is less than or equal to the level of significance at a = 0.05, we reject Ho. D Since the P value is grea at a - 0.05, we reject Ho. Q Since the P value is less than or equal to the level of significance at a = 0.05, we do not reject H. (el Interpret your condusion in the context of the application. () At the 5% level of signifi sans are not all equal. O At the 5% level of significance to to condude that the means are all equal. O At the 5% level of sans are all equal. ( At the 5% level of cans are not all equal. (f) Make a summary table for your ANOVA test. Source of Sum of Degrees of Variation Squares Freedom MS Ratio P Value Decision Between groups Within groups Total