1. Three 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 10workers. 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= 10,790 and SSTR=4550

a.Set up the ANOVA table for this problem:

Sourceof Variation	Sumof Squares	Degreesof Freedom	Mean Square	F	p-value
Treatments
Error
Total

b.Use alpha =.05to test for any significant difference in the means for the three assembly methods.

Calculate the value of the test statistic: