Question: Two methods for manufacturing a product are to be compared. Given 12 units, six are manufactured using method (M) and six are manufactured using method

Two methods for manufacturing a product are to be compared. Given 12 units, six are manufactured using method $M$ and six are manufactured using method $N$.

(a) How would you assign manufacturing methods to the 12 units?

(b) The response is the percent of finished product that did not meet quality standards. Suppose the results are

Method M Method N 381 8 3 0215 5 4 6 1

Find a $99 \%$ confidence interval for the difference in means.

(c) What assumption did you make for your answer to part (b)?

Method M Method N 381 8 3 0215 5 4 6 1 2 9

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