In: Math
3. Independent random samples of n1 = 16 and n2 = 13 observations were selected from two normal populations with equal variances. The sample means and variances are shown below: Population 1 Population 2 Sample size 16 13 Sample mean 34.6 32.2 Sample variance 4.0 4.84 a) Suppose you wish to test if there is difference between the population means with significance level of α = 0.05. State the null and alternative hypotheses that you use for the test. b) Find the value of the test statistic c) Find the value of the critical value d) Conduct the test and state your conclusions.