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Two types of plastic are suitable for use by an electronic calculator manufacturer. The breaking strength...

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 n1 = 10 and n2 = 12 batches the respective means were obtained as ¯y1. = 152.5 and ¯y2. = 153.7. The total sum of square for the data was SSTotal = 31.865.

(a) Complete the following ANOVA table.

Source SS df MS 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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milcah answered 1 year ago
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