A type of thread is being studied for its tensile strength properties. Fifty pieces were tested under

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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. Assuming a normal distribution of tensile strength, give a lower 95% prediction interval on a single observed tensile strength value in addition, give a lower 95% tolerance limit that is exceeded by 99% of the tensile strength values.

Distribution
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