Check My Worl The Ultra-Cool Iice Cream Company wants to ensure that allits prod
ID: 366957 • Letter: C
Question
Check My Worl The Ultra-Cool Iice Cream Company wants to ensure that allits products are prepared with precision to produce a consistent taste. Periodically, a sample of ice cream is removed from the processing area and tested for fat content. The company would like to have the fat content be between 35 and 40 percent of the total weight. Based on data collected for the last several days, the company found that the average fat content for its ice cream is 36 percent with a standard deviation of 2.5, Based on the information provided, the current process capability index is (Round your answer to two decimals.)Explanation / Answer
We have Mean (average) = 36 percent
Standard deviation = 2.5
Upper specification USL = 40 percent
Lower specification LSL = 35 percent
The process capability index, Cpk = Min [(Mean – LSL)/3 *, (USL – Mean)/3* ]
= min [(36- 35)/ (3* 2.5), (40 – 36)/ (3 * 2.5)]
= min [(1/7.5), (4 /7.5)] = min [0.1333, 0.5333] = 0.133
Therefore current process capability index is 0.13