Discuss the below:
Q1. In two independent samples from populations that are normally distributed, x1-bar = 35.0, s1 = 5.8, n1 = 12 and x2-bar = 42.5, s2 = 9.3, n2 = 14. Using the 0.05 level of significance, test H0:mu1 = mu2 versus H1:mu1 ≠ mu2.
Q2. For the following independent random samples, use the z - test and the 0.01 level of significance in testing H0:mu1=mu2 versus H1:mu1 ≠ mu2.
X1-bar = 33.5 s1 = 6.4 n1 = 31
X2-bar = 27.6 s1 = 2.7 n2 = 30.