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Two types of plastic are suitable for use by an electronic calculator manufacturer. The breaking strength of the plastic is important. From random samples of ni- 10 and n2 12 batches the respective means were obtained as -152.5 and 2 153.7. The total sum of square for the data was SSTotal -31.865. (a) Complete the following ANOVA table. Source SS dfMS F Treatment Error Total 31.865 (b) Calculate the t statistic for the appropriate two sample t test for checking the difference between the true mean of the two treatment levels. (c) Use R to calculate exact p-values of the F-test from ANOVA and the t-test above. (d) What do you conclude? Is there a significant advantage to one plastic formulation or other at the level of α-0.05?

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