If in Example 9.10d we were interested in determining an interval in which a single steel sheet,

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If in Example 9.10d we were interested in determining an interval in which a single steel sheet, produced with a carbon content of .15 percent and at an annealing temperature of 1,150◦F, would lie, then the midpoint of the prediction interval would be as given before. However, the half-length of this prediction interval would differ from the confidence interval for the mean value by the factor

1.313/

.313. That is, the 95 percent prediction interval is

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