Question

A chocolate factory makes a type of chocolate bar with the specifications for its weight between 95 grams to 105 grams. The machine that fills the bar molds has an average of 99.2 grams per bar and a standard deviation of 0.8 gram. Is the process capable?

Answer 1

The process is considered capable if the specifications fall within the control limits defined by the average weight and standard deviation. In this case, the control limits fall within the specified weight range, indicating that the process is capable.

Step-by-step explanation:

The process is capable if the specifications fall within the control limits defined by the average weight and the standard deviation. In this case, the average weight of the chocolate bars is 99.2 grams and the standard deviation is 0.8 gram. To determine if the process is capable, we need to calculate the range within which 95% of the chocolate bars fall.

We can use the formula: Control Limits = Average ± (2 x Standard Deviation)

For the given chocolate bars, the control limits would be 99.2 ± (2 x 0.8) = 97.6 to 100.8 grams. Since the control limits fall within the specified weight range of 95 to 105 grams, the process is capable.