Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the 15 appropriate table: z table or t table) X1 = 26.7 X2 = 28.3 01 12 = 89.5 02 2 = 91.7 3 n1 = 33 = 29 points a. Construct the 99% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) eBook Hint Confidence interval is to Print References b. Specify the competing hypotheses in order to determine whether or not the population means differ. OHO: M1 - M2 = 0; HA: M1 - M2 * 0 OHO: M1 - M2 2 0; HA: M1 - M2 0B k e 00 c. Using the confidence interval from part a, can you reject the null hypothesis? Hint Print 0 Yes, since the confidence interval does not include the hypothesized value of 0. References 0 No, since the confidence interval includes the hypothesized value of O. 0 Yes, since the confidence interval includes the hypothesized value of O. O No, since the confidence interval does not include the hypothesized value of 0. d. Interpret the results at a = 0.01. Q We conclude that the population means differ. Q We cannot conclude that the population means differ. Q We conclude that population mean 2 is greater than population mean 1' 0 We cannot conclude that population mean 2 is greater than population mean 1