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A barbecue sauce producer sells their product in a​ 20-ounce bottle. Their historical process mean has been 20 ounces with a standard deviation of 0.25 ounces. If their tolerance limits are set at 20 ounces plus or minus 1​ ounce, what is the process capability ratio of the bottle filling​ process?

Respuesta :

Answer:

1.33

Explanation:

Data provided in the question:

Mean = 20

Tolerance limit = 20 ± 1

Standard deviation, s = 0.25 ounces

Now,

Upper specification limit, USL = 20 + 1 = 21

Lower specification limit, LSL = 20 - 1 = 19

also,

capability ratio = [tex]\frac{USL-LSL}{6s}[/tex]

Thus,

Capability ratio = [tex]\frac{21-19}{6\times0.25}[/tex]

or

Capability ratio = [tex]\frac{2}{1.5}[/tex]

or

Capability ratio = 1.33

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