Since the p-value is less than .05, we reject the null hypothesis that the means of the three assembly methods are equal.
Therefore, we can conclude that there is a significant difference in the means of the three assembly methods.
Source Variation | Squares' Sum | Degrees of Freedom | Mean Square | F
Treatments 4560 2 2280 9.87
Error 6240 27 231.11
Total 10800 29
Using Alpha = .05 to test for any significant difference in the means for the three assembly methods.
The value of the test statistic is 9.87
The p-value is: less than .01
Conclusion not all means of the three assembly methods are equal.
Complete Question:
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 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 = 10,800; SSTR = 4560.
Set up the ANOVA table for this problem (to 2 decimals, if necessary).