2.In a test of the hypothesis H0: μ = 50 versus Ha: μ< 50, a sample of 40 observations is selected from a normalpopulation and has a mean of 49.0 and a standard deviation of4.1.
a) Find the P-value for this test.
b) Give all values of the level of significance α for which youwould reject H0.
3.In a test of the hypothesis H0: μ = 10 versus Ha: μ≠10, a sample of 16 observations possessed mean 11.4 and standarddeviation 3.1.
a) Find the P-value for this test.
b) Give all values of the level of significance α for which youwould not reject H0.
