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

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Basic Math

Two types of plastic are suitable for use by an electroniccalculator manufacturer. The breaking strength of the plastic isimportant. From random samples of n1 = 10 and n2 = 12 batches therespective 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 ttest for checking the difference between the true mean of the twotreatment levels.

(c) Use R to calculate exact p-values of the F-test from ANOVAand the t-test above. (d) What do you conclude? Is there asignificant advantage to one plastic formulation or other at thelevel of ? = 0.05?

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