A clay tile company is interested in studying the effects of cooling temperature on strength. Since the company has ve ovens which produce the tiles,...

1. A clay tile company is interested in studying the effects of cooling temperature on strength. Since the company has five ovens which produce the tiles, four tiles were baked in each oven and then randomly assigned to one of the four cooling temperatures (◦ C). The data are shown below.

A clay tile company is interested in studying the effects of cooling temperature on strength.Since the company has five ovens which produce the tiles, four tiles were baked in eachoven and then randomly assigned to one of the four cooling temperatures (° C). The dataare shown below. a. If M SE : 6.275, compute the F-statistic to determine if there is a difference amongthe four cooling temperatures (use a = 0.05). b. Perform pairwise comparisons using Tukey’s procedure. What are your conclusions?c. In this experiment, what is the power of detecting a difference of least 6.0 units? (1. Suppose the company believes there is a jump in the strength at 12.5° C but otherwisecooling temperature has no effect (i.e., step function — — —___). Find a set of 2 orthogonal contrasts that would allow you to roughly test this (HINT: What is therelationship among the means before and after 12.5” C. e. Test these contrasts you find in part ((1) are significant or not, respectively, and stateyour conclusion.