A sample of 25 pieces of laminate used in the manufacture of circuit boards was

Question

A sample of 25 pieces of laminate used in the manufacture of circuit boards was selected, and the amount of warpage (in.) under particular conditions was determined for each piece, resulting in a sample mean warpage of 0.0621 and a sample standard deviation of 0.0061. (a) Calculate a prediction for the amount of warpage of a single piece of laminate in a way that provides information about precision and reliability. (Use a 95% prediction interval. Round your answers to four decimal places.) (0.0040, 0.0082) in (b) Calculate an interval for which you can have a high degree of confidence that at least 95% of all pieces of laminate result in amounts of warpage that are between the two limits of the interval. (Use a 99% tolerance interval. Round your answers to four decimal places.) (0.0031,00091) in You may need to use the appropriate table in the Appendix of Tables to answer this question.

Explanation / Answer

µ = 0.0621

= 0.0061

n = 25

Z0.95 = 1.96

CI = [µ ± z*(/n)]

= [0.0597, 0.0644]

b) Tolerance interval changes to 99%.

Z0.99 = 2.576

Rest remains the same.

CI = [0.0589, 0.06524]

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