Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or table) x=27.6 a = 95.5 01 = 27 x2 = 30.1 = 022 92.5 n2 = 24 a. Construct the 90% confidence interval for the difference between the population means. (Negative value should be indicated by a minus sign. Round final answers to 2 decimal places.) Confidence interval is to b. Specify the competing hypotheses in order to determine whether or not the population means differ. Ho: H1 H2=0; HA: H1 H20 Ho: H1 H20; HA: H1-H2 < 0 Ho: H1 H20; HA: 1-2> 0 c. Using the confidence interval from part a, can you reject the null hypothesis? Yes, since the confidence interval does not include the hypothesized value of 0. No, since the confidence interval includes the hypothesized value of 0. Yes, since the confidence interval includes the hypothesized value of 0. No, since the confidence interval does not include the hypothesized value of 0. d. Interpret the results at a = 0.10. We conclude that the population means differ. We cannot conclude that the population means differ. O We conclude that population mean 2 is greater than population mean 1. We cannot conclude that population mean 2 is greater than population mean 1.