Porcelain tile is often recommended over ceramic tile because its breaking strength
tends to be higher therefore making it more durable and long lasting. Based on data
collected from its production processes, Crosstiles Inc. determines that the breaking
strength of its most popular porcelain tile is normally distributed with a mean of 400
pounds per square inch and a standard deviation of 12.5 pounds per square inch.
A. Based on the 68-95-99.7 Rule, about what percent of its popular porcelain tile will
have breaking strengths between 375 and 425 pounds per square inch?
b. Based on the 68-95-99.7 Rule, about what percent of its popular porcelain tile will
have breaking strengths greater than 412.5 pounds per square inch?
c. Based on the 68-95-99.7 Rule, describe the breaking strength of the weakest 2.5% of
its popular porcelain tile?
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