Solve these 1 through 4 questions please

3. To test the null hypothesis that the population mean is # = #o with a single sample of size n, we require (say) that n > 30. Our test statistic TS is I - HO (im ) where I is the sample mean and s is the sample standard deviation. The degrees of freedom is dof = n - 1. (a) For a two-tailed test, we may compute ta/2 = +InvT(a/2, dof) and check that the test-statistic falls in a tail. Or we may instead compute P = 2 * tcdf (ITS|, co, dof) and check that P 95 ? ii. What would we conclude if we rejected the null hypothesis with a two-tailed test? iii. Can we reject the null hypothesis at level of significance o = 0.05, using a two-tailed test, using a two-tailed test? iv. Can we reject the null hypothesis at level of significance o = 0.01, using a two-tailed test, using a two-tailed test