Refer to The American Ceramic Society Bulletin (Feb. 2005) evaluation of commercial bricks used in smelter pots, Exercise 10.9.
a. Find a 95% prediction interval for the apparent porosity percentage y of a brick with a mean pore diameter of x = 10 micrometers. Interpret the result.

b. Will a 95% confidence interval for the mean porosity percentage, E( y), when x = 10 micrometers be wider or narrower than the prediction interval, part a? Explain.

Data from Exercise 10.9

An investigation of the properties of bricks used to line aluminum smelter pots was published in The American Ceramic Society Bulletin (Feb. 2005). Six different commercial bricks were evaluated. The life length of a smelter pot depends on the porosity of the brick lining (the less porosity, the longer the life); consequently, the researchers measured the apparent porosity of each brick specimen, as well as the mean pore diameter of each brick.

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SMELTPOT Apparent Porosity (%) Mean Pore Diameter (micrometers) Brick A 18.8 12.0 B 18.3 9.7 C 16.3 7.3 D 6.9 5.3 E 17.1 10.9 F 20.4 16.8