2. A formulation scientist is interested in comparing the dissolution rates of two alternative formulations of the same drug. The data is below: Formulation A: average dissolution = 84%; standard deviation = 5.2%; n =10 Formulation B: average dissolution = 78%; standard deviation = 4.1%; n =10 Test whether the difference between the means of the two groups is significant at a significance level of .05. (a) What are the null and alternative hypotheses? (b) Draw the picture of the distribution of the test statistic under HO. Include critical value(s) and region(s) of rejection. (c) What is the calculated value of the test statistic? (d) What is your conclusion? (e) Construct a 95% CI for the mean difference between dissolutions of formulations A and B