Question: 5.(10% Reliability Sequential Test) In the reliability sequential qualification test, suppose that the specified mean failure rate (# of failures per 1,000,000 hours) is 20

 5.(10% Reliability Sequential Test) In the reliability sequential qualification test, suppose

5.(10% Reliability Sequential Test) In the reliability sequential qualification test, suppose that the specified mean failure rate (# of failures per 1,000,000 hours) is 20 with a STD of 2. If the decision thresholds are set at 2 STD above and 2 STD below the mean, (a) Define the producer's risk and compute its value. (b) If the true failure rate is 22, define the user's risk and compute its value. (c) In order to reduce the producer's risk to 0.01, what is the new decision threshold? What is the resulting user's risk in (b)? -3.0 -2.33 -2.0 -1.0 -0.5 0.0 0.3 1.33 2.0 3.0 4.0 erf (x) 0.00135 0.010 0.0228 0.1587 0.3085 0.5000 0.6179 0.9082 0.9772 0.9986 1.0 X Rejection region Continue testing region Fofilures Acceptance region Test Time 5.(10% Reliability Sequential Test) In the reliability sequential qualification test, suppose that the specified mean failure rate (# of failures per 1,000,000 hours) is 20 with a STD of 2. If the decision thresholds are set at 2 STD above and 2 STD below the mean, (a) Define the producer's risk and compute its value. (b) If the true failure rate is 22, define the user's risk and compute its value. (c) In order to reduce the producer's risk to 0.01, what is the new decision threshold? What is the resulting user's risk in (b)? -3.0 -2.33 -2.0 -1.0 -0.5 0.0 0.3 1.33 2.0 3.0 4.0 erf (x) 0.00135 0.010 0.0228 0.1587 0.3085 0.5000 0.6179 0.9082 0.9772 0.9986 1.0 X Rejection region Continue testing region Fofilures Acceptance region Test Time

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