Problem 5 A new testing method is proposed. If this method is proven to be as effective as the current method, testing times could be reduced by 60%. An experiment is proposed measuring the minimal...

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Extracted text: Problem 5 A new testing method is proposed. If this method is proven to be as effective as the current method, testing times could be reduced by 60%. An experiment is proposed measuring the minimal metal disc density of 10 discs using the current method and the new method. The results are ordered by disc. Assume that the data follows the normal distribution. New Method Current - New 0.01 0.02 -0.06 0.04 -0.02 Disc Current Method 1.88 2.00 1.84 2.03 1.83 1.92 1.90 1.85 1 1.87 1.98 1.90 1.99 4 1.85 1.89 1.88 6 0.03 0.02 0.07 0.03 7 8 1.78 2.18 1.92 9. 2.21 10 1.96 0.04 Average Standard deviation Current Method New Method 1.924 0.1084 Current - New 0.018 1.942 0.1158 0.0358 a) Do the data support the claim that the new method in average is as effective as the current method? Use a Paired t-Test procedure with alpha = 0.10. b) Provide a 90% two-sided confidence interval on the same parameter of part a).