(2022) (Please note that while the use of computer software is encouraged for performing calculations, a 'bare' computer printout of results will not be deemed acceptable for the purposes of your assignment submission. The rationale for choosing a particular statistical test should be given and the results of the test fully discussed.) 1. (a) Quality control records show that the average tablet weight to be 499 ing with a standard deviation of 5.3. There are sufficient data so that these values may be considered known parameters (population mean and std. dev.). A new batch shows the following weights from a random sample of seven tablets: 500, 499,495, 493, 497, 504 and 495 mg . Do you believe that the new batch has a different mean from the process average ( hint use Z test) ? (b) Two batches of tablets were prepared by two different processes. The potency determinations made on five tablets from each batch were as follows: batch A: 5.1, 4.8, 4.6, 5.3, 5.5, 4.7; batch B: 4.8, 4.8, 5.2, 5.1, 4.5, 4.4. Test to see if the means of the two batches are equal. [25 marks] 2. The following analytical data were obtained for a spectrophotometric analysis: Conc.(mg dm) Absorbance 10 0.105, 0.088 20 0.205, 0.185 50 0.495, 0.510 100 0.983, 1.120 200 1.964, 2.108 (i) computer and r, and explain what their values indicate, (ii) find the regression equation of absorbance on concentration, (iii) predict the concentration , if the absorbance was 0.720. (iv) plot the residuals from the regression analysis against the concentration. What does the resulting pattern indicate? [25 marks]