One-Way ANOVA + Tukey Post-Hoc Comparisons An instructor is comparing the test scores of students who completed the same course using three different curricula: one with an expensive textbook, one with an open (i.e., free) textbook, and one with no textbook. Use Minitab Express to compute the mean and standard deviation for the TestScore variable for each of the three curricula separately (Descriptive Statistics > Variable = TestScore and Group variable = Curriculum). Include your Minitab Express output and to clearly identify your final answer from the output

A. Use Minitab Express to conduct a one-way ANOVA to compare the test scores of the three curriculum groups. Use the five step hypothesis testing procedure outlined below. Remember to copy + paste all relevant Minitab Express output and to clearly identify your final answers from the output.

Step 1: State hypotheses and check assumptions.

Step 2: Compute the test statistic.

Step 3: Determine the p-value

Step 4: Decide to reject or fail to reject the null hypothesis.

Step 5: State a real-world conclusion. I am 95% confident that ...

B. Use Minitab Express to conduct Tukey simultaneous tests for differences in means. Remember to include all relevant output. Clearly state which pairs are significantly different and which pairs are not significantly different.

C. Write few sentences summarizing the results of your one-way ANOVA and Tukey tests for a general audience. Imagine that you are explaining your results to someone with little or no knowledge of statistics.

6.5 Let X be an exponential random variable with parameter A. (a) Apply the Markov inequality to bound Pr[X 2 2/X]. (b) Use the Chebyshev inequality to compute the bound. (c) Use the one-sided Chebyshev inequality to compute the bound. (d) Compute the actual probability of this event.2. Compare the Chebyshev inequality and the exact probability for the event {|X| > c} as a function of c when X is a continuous uniform random variable in the interval [-b, b] with b > 0. For b = 1, plot both the Chebyshev inequality and the exact probability for values of c that satisfy 0.2