Question: Suppose 3 control limits are constructed for the average temperature in a furnace. Samples of size 4 were selected with the average temperature being 5000C

Suppose 3 control limits are constructed for the average temperature in a furnace. Samples of size 4 were selected with the average temperature being 5000C and a standard deviation of 50C. (total 15pts) a) Find the 3 control charts. (4pts) b) If the process average temperature drops to 4960C, what is the probability of failing to detect this change by the third sample point drawn after the change? (7pts) c) What is the probability of the shift being detected within the first two samples?

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