●a.●Assume a = 0.05 unless otherwise noted.Show your work and include appropriate units with answers when relevant.Round all numeric answers to at least 3 decimal places.1. Consider a dataset of two paired variables, X and Y, that have the following properties:X 0SE = 0Provide values for X and Y that have the four properties listed above. There are manypossible solutions, so be sure to show that each of these properties is true.n = 7b. Suppose this data met all assumptions of a paired t-test. Why would you still be unableto test if there is a significant mean difference?

Consider the paired data set:X: 1, 2, 3, 4, 5, 6, 7Y: 3, 4, 5, 6, 7, 8, 9d = X-YThis follows all the…

1. Consider a dataset of two paired variables, X and Y, that have the following properties: X 0 SE = 0 a. Provide values for X and Y that have the four properties listed above. There are many possible solutions, so be sure to show that each of these properties is true. n = 7 b. Suppose this data met all assumptions of a paired t-test. Why would you still be unable to test if there is a significant mean difference?