An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table in Question 13. At 0(=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. 1. Hypotheses: Let x1, x2, x3, and x4 be the assembly time (in secs) of a person trained in program A, B, C, and D, respectively. 2. In the decision rule: Reject H0 if Fc>F0.10,(A,B)=C .Othenivise, fail to reject H0. What is the value for df for treatments, A? What is the value for dl for error, 8? What is the critical value, C? The data are recorded as follows: Fill in the missing values of the ANOVA table. Sources of Degrees of Sum of Mean Variation Freedom Squares Square Treatment Answered in 012 Error Answered in 012 Total Pairwise Comparison Test Given the hypotheses: H0411 =u2; Ha:u1p2. Compute for the Tukey's q-statistic. Given the hypotheses: H0:p1=u3 ; Ha:u1p3. Compute for the Tukey's qstatistic. Given the hypotheses: H0:u1=u4 ; HaZ|J1#|J4. Compute for the Tukey's q-statistic. Given the hypotheses: H0:p2=u3 ; Ha:u2=ep3. Compute for the Tukey's qstatistic. Given the hypotheses: H0:p2=u4 ; Ha:u2=ep4. Compute for the Tukey's qstatistic Given the hypotheses: H0:u3=u4 ; Ha:u3u4. Compute for the Tukey's q-statistlc. Decision for the ANOVA test: Reject H0. Fail to reject H0. Conclusion for the ANOVA test: a. At the 10% level of significance, there is sufficient evidence to claim that at least one of the four programs resulted in a different assembly time for the people trained. b. At the 10% level of significance, there is insufficient evidence to claim that at least one of the four programs resulted in a different assembly time for the people trained. From the summary of the ANOVA hypothesis test conducted, is there a need to proceed to Tukey's test? a) Yes, because the result was significant (we rejected the null hypothesis). b) Yes, because the result was insignificant (we failed to reject the null hypothesis). c) No, because the result was significant (we rejected the null hypothesis). d) No, because the result was insignificant (we failed to reject the null hypothesis)