Question

An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 238 of these passed the probe. (Give answers accurate to 3 decimal places.) (a) Assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe. (b) Assuming a stable process, calculate a 98% (two-sided) confidence interval for the proportion of all dies that pass the probe.

Answer 1

+ let, sample size, n= 356 sample ری 238 proportion of all dies thas passes prone is = 0.668 356 g) Critical value for 95% confidence interval is z=1.9 interval for then, confidence prop of all 957. will be dies that pass the probe Ê Ci-ê P tz n 0,668 (0 332) 0.668 t t. 96 356 0.668 + (1.96)(0.0249) = 0.668 + 0.0489 (0.668 -0.0489, 0,668+ 0.0489) = (0.6191, 0.7169) 9,0.717) b) Critical value of १8'(. confidence interval is 2:33 ice, Ž= 2.33 987 will be confidence interval for proportion of all dies that passes the probe i iz Ê Ci-ê n 0.668 + 2.33 (0.0249) 0 668 ± 0.0580 (0.668 -0.058 0.668 +0.058) ( 0.61, 0.726) => (0.610,0.726) i. e, accurate upto 3 decimal places.

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