hree different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 11,250; SSTR = 4,510.

(a) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Treatments	____________	____________	____________	____________	____________
Error	____________	____________	____________
Total	____________	____________

(b) Use ? = 0.05 to test for any significant difference in the means for the three assembly methods.

State the null and alternate hypothesis:

Q Do not reject H0. There is not sufcient evidence to conclude that the means of the three assemblyr methods are not equal. 0 Reject \"0' There is sufcient evidence to conclude that the means of the three assembly:r methods are not equal. (3' Reject H0. There is not sufcient evidence to conclude that the means of me three assembly:r methods are not equal. CI Do not reject H0. There is sufficient evidence to conclude that the means of the three assembly methods are not equal. H.: Not all the population means are equal. HA: My = M2 = H3 Hol M1 = M2 = M3 H_: Not all the population means are equal. H.: At least two of the population means are equal. H.: At least two of the population means are different