A part is not to exceed a failure rate of 3.4 failures in one million. (a) Determine the sample size needed for a hypothesis test of the equality of this failure rate to a 3.4 parts per million...

A part is not to exceed a failure rate of 3.4 failures in one million.

(a) Determine the sample size needed for a hypothesis test of the equality of this failure rate to a 3.4 parts per million failure rate. Use risks of 0.05 and an uncertainty of 10% of the failure rate target.

(b) Determine the sample size if one failure were permitted with a 95% confidence statement (using a reduced sample size testing approach).

(c) Determine the failure rate of the sample if two failures occurred during the test (using a reduced sample size testing approach).

(d) Comment on your results and implementation challenges. List S4 / IEE opportunities.