Question: Only E and F please 2. Control limits are constructed for the average temperature in a furnace. Twenty five samples of size 4 are selected.

Only E and F please

2. Control limits are constructed for the average temperature in a furnace. Twenty five samples of size 4 are selected. The data yielded an average temperature of 5000C and an estimate of the standard deviation of the temperature as 50C. The specification on temperature are 4950 + 120C. a. Find the three-sigma control limits for a chart for average temperature. b. Find the warning limits. c. What is the probability of a false alarm in part b)? d. If the average furnace temperature changes to 4950C, what is the chance of detecting this change on the next sample point drawn after the shift? e. Find the natural tolerance limits. f. Find the capability index Cpk and comment on its value. (3)

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