You are comparing the effect of 4 different treatments on patients with a history of high blood pressure and cardiac problems. You have selected 15 patients with comparable pre-treatment blood pressure, and you have collected their systolic blood pressure after the treatments have taken effect. The results are summarized in the table below. Treatment 1 128 111 124 137 Treatment 2 101 111 118 117 Treatment 3 133 127 133 136 Treatment 4 128 120 104 (a) What is the critical value in the associated ANOVA hypothesis test at the 0.04 level of significance (rounded to 2 decimal places)? (b) Construct an ANOVA table (rounding to 2 decimal places when needed, but remember to keep more than 2 digits during your calculations): Source of variation Treatment Error Total Sum of squares Degrees of freedom Mean square F (c) Can you conclude there is a significant difference in the mean effect of the treatments? If there is a significant difference, input '1'; if not, input '-1': (d) Find the limits (rounded to 1 decimal place) of a 95% confidence interval for the difference between treatment 1 and treatment 2: Lower limit = = Upper limit = Can you conclude there is a significant difference in the mean effect of treatments 1 and 2? If there is a significant difference, input '1'; if not, input '-1': (e) Find the limits (rounded to 1 decimal place) of a 95% confidence interval for the difference between treatment 1 and treatment 3: Lower limit = Upper limit = Can you conclude there is a significant difference in the mean effect of treatments 1 and 3? If there is a significant difference, input '1'; if not, input '-1':