Lanhu Cement Corporation is a leading North American cement producer, with more than 6.5 million metric tons of annual capacity. With headquarters in Nazareth, Pennsylvania, Lanhu operates production facilities strategically located throughout the United States, Canada, and Puerto Rico. One of its products is Portland cement. Portland cement€™s properties and performance standards are defined by its type designation. Each type is designated by a Roman numeral. Ninety-two percent of the Portland cement produced in North America is Type I, II, or I/II. One characteristic of the type of cement is its compressive strength. Sample data for the compressive strength (psi) are shown as follows:

a. Develop the appropriate ANOVA table to determine if there is a difference in the average compressive strength among the three types of Portland cement. Use a significance level of 0.01.
b. If warranted, use the Tukey-Kramer procedure to determine which populations have different mean compressive strengths. Use an experiment-wide error rate of 0.01.

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Type Compressive Strength 4.972 4,983 4,889 5,063 II 3.216 3,3993.267 3,357 IVTI 4,073 3,9493,9363.925