Question

HVAC Manufacturing produces 6-inch-diameter round metal ducting, with an acceptable tolerance of ±0.03 inch. Anything produced outside specifications is considered defective. The supervisor for this product has data showing that the actual diameter of finished product is 5.99 inches on average with a standard deviation of 0.01 inch. What is the maximum allowable standard deviation for the process to reach a six-sigma quality, given the average is still 5.99 inches?

Answer 1

The maximum allowable standard deviation for HVAC Manufacturing to achieve six-sigma quality with an average diameter of 5.99 inches is approximately 0.0033 inches.

Step-by-step explanation:

Content loaded HVAC Manufacturing is focused on ensuring a high degree of precision in their 6-inch-diameter round metal ducting production, adhering to a tolerance of ±0.03 inch. to maintain products within specifications and achieve a six-sigma quality level, we need to ascertain the maximum allowable standard deviation when the actual average diameter is 5.99 inches. six-sigma quality for a process entails that the specifications lie within 6 standard deviations from the mean. Therefore, the specification limits are ±0.03 inch away from the target mean of 6 inches.

The lower specification limit is 5.97 inches, and since the average diameter is 5.99 inches, we have a distance of 0.02 inches to cover within 6 standard deviations. hence, the maximum allowable standard deviation would be 0.02 inches divided by 6, which is approximately 0.0033 inches.