An organization requires a Cp value of 2.00. Given a sample size of 30 determine

Question

An organization requires a Cp value of 2.00. Given a sample size of 30 determine the minimum level for a sampled Cp value in order to be 97.5% confident that the Cp population value is 2.00 (i.e., a one-sided confidence interval).

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desire, but you are concerned that they had a sample size of only 20 Determine a 95% confidence interval for the population C 7. An organization requires a C2 value of 2.00. Given a sample size of 30 determine the minimum level for a sampled Cn value in order to be 97.5% confident that the Co population value is 2.00 (i.e a one-sided confidence interval 8. In an exercise in Chapter 11 you were presented the following informa tion for analysis in order to select the best supplier to manufacture to a specification of 85-115. Suppliers claimed the following: supplier 1, x 100 and s 5, supplier 2, x 95 and s 5, supplier 3, x 100 and s 10. supplier 4. r 95 and s 10. You were to determine ppm

Explanation / Answer

From the data,

n=20 and Cp= 2

Degrees of freedom= df = n-1 = 30-1=29

Level of significance == 1- 0.975 = 0.025

To obtain the minimum level for a samples Cp, we can use one-sided confidence interval:

Cp Cp (2n-1, )/(n-1)

229,0.025 = 45.722 ( from chi square table)

Cp 2* (45.722/29) = 2.5113

Therefore, the minimum level for a sampled Cp value in order to be 97.5% confident that the Cp population value is 2.00 is 2.5113.

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