In: Statistics and Probability
Consider the hypothesis test with null hypothesis µ1=µ2 and alternative hypothesis µ1 > µ2. Suppose that sample sizes n1 = 10 and n2 =10, that the sample means are 7.8 and 5.6 respectively, and that the sample variances are 4 and 9 respectively. Assume that the population variances are equal and that the data are drawn from normal distributions.
a) Test the hypothesis that at α= 0.05 and provide a conclusion statement
b) Provide an adequate confidence interval with 95% confidence level.