A die is a specialized tool used in manufacturing industries to cut or shape mat
ID: 3429311 • Letter: A
Question
A die is a specialized tool used in manufacturing industries to cut or shape material mostly using a press. Products made with dies range from simple paper clips to complex pieces used in advanced technology.
An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 159 of these passed inspection. What is the estimated proportion of wafers that passed inspection? (Round your answers to three decimal places.) ________________
Assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe. (Round your answers to three decimal places.)
95%CI
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Explanation / Answer
A die is a specialized tool used in manufacturing industries to cut or shape material mostly using a press. Products made with dies range from simple paper clips to complex pieces used in advanced technology.
An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 159 of these passed inspection.
Confidence Interval Estimate for the Proportion
Data
Sample Size
356
Number of Successes
159
Confidence Level
95%
Intermediate Calculations
Sample Proportion=159/356=
0.447
Z Value
1.9600
Standard Error of the Proportion=sqrt(0.447*0.553/356)=
0.0263
Interval Half Width = 0.0263*1.96=
0.0515
Confidence Interval
Interval Lower Limit=0.447-0.0515=
0.396
Interval Upper Limit=0.447+0.0515=
0.499
What is the estimated proportion of wafers that passed inspection? (Round your answers to three decimal places.) = 0.447
Assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe. (Round your answers to three decimal places.)
95%CI = (0.396, 0.499)
Confidence Interval Estimate for the Proportion
Data
Sample Size
356
Number of Successes
159
Confidence Level
95%
Intermediate Calculations
Sample Proportion=159/356=
0.447
Z Value
1.9600
Standard Error of the Proportion=sqrt(0.447*0.553/356)=
0.0263
Interval Half Width = 0.0263*1.96=
0.0515
Confidence Interval
Interval Lower Limit=0.447-0.0515=
0.396
Interval Upper Limit=0.447+0.0515=
0.499
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