Question

VitaComp manufactures non-pharmaceutical pills and pellets from dry ingredients, using a collection of machinery it maintains in a large job shop. Machine AA-23 molds circular pellets to an average diameter of 65 mm, with normally distributed natural variation expressed by a 1 mm standard deviation when the machine is in control. VitaComp has just agreed to mold a batch of plant food pellets of the 65mm design. To monitor the plant food job, it will sample 100 pellets randomly each hour, and chart their average diameter on a mean chart prepared for this purpose, using a z-value of 1.67. What is the Upper Control Limit of the mean chart described here?

Answer 1

Answer:

Check the explanation

Step-by-step explanation:

UCL = MEAN + (Z * STDEV / SQRT(N))

MEAN = 65

Z = 1.67

STDEV = 1

N = 100

UCL = 65 + (1.67 * 1 / SQRT(100)) = 65.167