A type of thread is being studied for its tensile strength properties. Fifty pie

Question

A type of thread is being studied for its tensile strength properties. Fifty pieces were tested under similar conditions, and the results showed an average tensile strength of 78.3 kilograms and a standard deviation of 5.6 kilograms. a) Assuming a normal distribution of tensile strengths, give a lower 95% prediction limit on a single observed tensile strength value. b) Give a lower 95% tolerance limit that is exceeded by 99% of the tensile strength values. c) Why are the quantities requested in the exercise likely to be more important to the manufacturer of the thread than, say, a confidence interval on the mean tensile strength?

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A type of thread is being studied for its tensile strength properties. Fifty pie

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