A single factor experiment was conducted to study the effect of caffeine levels on performing a simple finger tapping task. Thirty male college students were trained in finger tapping and randomly assigned to receive three different doses of caffeine (0, 100, or 200 mg) with 10 students per dose group. Two hours following the caffeine treatment, students were asked to finger tap and the numbers of taps per minute were counted. The data ("hw5_tapdat.txt") is available on the course webpage on canvas. Please calculate 90% simultaneous confidence intervals for all pairwise treatment means μ-μ₁ and μ-μ₁ and μ-μ, using the least significant difference (LSD), Bonferroni, Scheffe and Tukey methods, and compare the results obtained using different methods. (Hint: the critical values for t, F, and the studentized range distributions can be computed using qt0), qf(), and qtukey() function in R.)