An experiment was performed to look at the reflectivity of different paints used on roads. Four paints were used (call them Paint 1, Paint 2, Paint 3, and Paint 4). Twenty-four sections of roads with similar travel patterns and weather patterns were used. Each type of paint was randomly assigned to one of the 24 sections of road so that each paint type was used on 6 different road sections. The percent of reflectivity after 6 months was determined and recorded. From the F-test, it was determined that at least one paint type had a different mean reflectivity than the others. To determine which group mean or means are different, a multiple comparison method must be performed. One multiple comparison method to compare more than one pair of group means is the Bonferroni multiple comparison method.

Using this method, what would the maximum significance level be for each hypothesis test to keep the probability of making at least one Type I Error from our several two-sample t-test to no larger than 0.05?

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