Six different machines are being considered for use in manufacturing rubber seals ...

Six different machines are being considered for use in manufacturing rubber seals. The machines are being compared with respect to tensile strength of the product. A random sample of four seals from each machine is used to determine whether the mean tensile strength varies from machine to machine. The following are the tensile-strength measurements in kilograms per square centimeter 

Perform the analysis of variance at the 0.05 level of significance and indicate whether or not the mean tensile strengths differ significantly for the six machines. (Note that normality with common variance is assumed.) 1. Write down the null and alternative hypotheses explicitly with µi ’s, where µi denotes the mean tensile strength of the product produced from machine i, i = 1, 2, · · · , 6. 2. Complete the following ANOVA table by filling out the 9 bold spots (2 already filled). Source of Sum of Degree of Mean F Variation Squares Freedom Squares Statistic Regression SSR=5.34 k-1 MSR=SSR/(k-1) F=MSR MSE Error SSE k(n-1) MSE=SSE/(k(n-1)) Total SST=67.98 kn-1 3. Calculate the p value of the F test statistic and make your conclusion in this context.