Consider a dataset of two paired variables X and Y that have

Consider a dataset of two paired variables, X and Y, that have the following properties: 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. 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?

Solution

a) x= weight y=hight

so mean(x)>mean(y)

variance y>0

but SE(ybar) is closely zero not be equal to zero

b)

we can not use t -test because of if there is sufficient defference in location parameter then it is not appropriate to test of difference them