LA corporation has three apparently identical manufacturing plants. Wanting to see if these plants are equally effective, management randomly chose 30 days. On 10 of these days it determined the daily output at plant 1 {n1 : 10). On another 10 days, it determined the daily output at plant 2 {n2 : 10), and on the fmal 10 days management determined the daily output at plant 3 (H3 : 10). The following summary data give the sample means and sample variances of the daily numbers of items produced at the three plants over those days. Plant i is S? i: 1 325 450 i = 2 413 520 f = 3 366 444 (a) Give the oneway ANOVA table based on the data. (b) Test the hypothesis that the mean number of items produced daily is the same forall three plants. Use the 5 percent level of signicance. (c) Suppose the data summaries are the same but the sample size is 20 for each groupinstead of 10. Redo (b). (d) Suppose the data summaries are the same but the sample size is reduced to 5 foreach group instead of 10. Redo {b}. (e) Comment on your ndings based on the results in (b)(d) in terms of the testingresults and pvalues. ( Suppose the sample sizes {n1,n2, n3) : (8,10,12) are not equal among 3 plants. Modify the ANOVA table