Question

The Crunchy Potato Chip Company sells chips in boxes with a net weight of 846 grams per box . Each box contains ten individual 3-ounce packets of chips. Product design specifications call for the packet-filling process average to be set at 853 grams so that the average net weight per box will be 853 grams. Specification width is set for the box to weigh 846±12grams. The standard deviation of the packet-filling process is 5 grams per box. The production manager has just learned that the packet-filling process average weight has dropped down to 846 grams. Calculate process capability index.

Answer 1

0.8

Step-by-step explanation:

Given:

Number of chips contained in each box = 10

Weight of each packet of chips = 3 ounce

Average weight per box = 853 grams

Upper specification limit of the weight = 846 + 12 grams = 858 grams

Lower specification limit of the weight = 846 - 12 grams = 834 grams

Standard deviation, σ = 5 grams

Now,

Capability index =
`\frac{\textup{Upper limit - Lower limit}}{6\sigma}`

or

Capability index =
`(858 - 834)/(6*5)`

or

Capability index = 0.8