Answer:
From the statements in the question, I and III is CORRECT
Step-by-step explanation:
First we take down the given data from the question for substitution;
Process mean = 16.9 ounces
Lower specification limit = 16.75 ounces
Upper specification limit = 17.05 ounces
Standard deviation = 0.04
Now, we get our Cpk;
Cpk = MINIMUM( (Upper specification limit - mean ) / 3 × Standard deviation), (mean - Lower specification limit) / 3 × Standard deviation) )
so we substitute
Cpk = MINIMUM( ((17.05 ounces - 16.9 ounces) / 3 × 0.04 ounces ), (( 16.9 ounces - 16.75 ounces) / 3 × 0.04 ) )
Cpk = MINIMUM( 0.15 / 0.12 ), ( 0.15 / 0.12 )
Cpk = MINIMUM( 1.25, 1.25 )
Cpk = 1.25
Next the Cp;
Cp = ( Upper specification limit - Lower specification limit ) / ( 6 × standard deviation )
we substitute
Cp = ( 17.05 ounces - 16.75 ounces ) / ( 6 × 0.04 ounces )
Cp = 0.3 / 0.24
Cp = 1.25
Hence;
Cpk calculation is not less than Cp calculation.
Since Cp is greater than 1, the process is cable.
Since the actual process mean is also 16.90 ounces, then the process is centered.
Therefore, From the statements in the question, I and III is CORRECT