In: Statistics and Probability
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 = 10,840; SSTR = 4,580. Set up the ANOVA table for this problem (to 2 decimals, if necessary). Round p-value to four decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total
Use = .05 to test for any significant difference in the means for the three assembly methods.
The p-value is
What is your conclusion?