Two methods for manufacturing a product are to be compared. Given 12 units, six are manufactured using method A and six are manufactured using method B. The response is the percent of finished product that did not meet quality standards. Suppose the results are Method A |3 8 1 4 6 2 Method B 0 2 1 5 1 9 (a) If the two methods have the same variances, find a 99% confidence interval for the difference in means. What additional assumption(s) did you make for your answer? (b) If the two methods have the different variances, find a 99% confidence interval for the difference in means.

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Two methods for manufacturing a product are to be compared. Given 12 units,
six are manufactured using method A and six are manufactured using method B. The
response is the percent of finished product that did not meet quality standards. Suppose
the results are
Method A | 3 8 1 4 6 2
Method B 0 2 1 5 1 9
(a) If the two methods have the same variances, find a 99% confidence interval
for the difference in means. What additional assumption(s) did you make for your
answer?
(b) If the two methods have the different variances, find a 99% confidence
interval for the difference in means.
Transcribed Image Text:Two methods for manufacturing a product are to be compared. Given 12 units, six are manufactured using method A and six are manufactured using method B. The response is the percent of finished product that did not meet quality standards. Suppose the results are Method A | 3 8 1 4 6 2 Method B 0 2 1 5 1 9 (a) If the two methods have the same variances, find a 99% confidence interval for the difference in means. What additional assumption(s) did you make for your answer? (b) If the two methods have the different variances, find a 99% confidence interval for the difference in means.
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