3. A store manager hypothesizes that the average number of pages a person copies on the store's copy machine is not equal to 40. A sample of 50 customers' orders is selected and is summarised in the Minitab output below One-Sample Z: no_of_pages Test of u = 40 vs # 40 The assumed standard deviation = 30.9 Variable N Mean StDev SE Mean 98% CI Z P no of pages 50 29.26 30 . 94 4.37 (19. 09, 39. 43) -2.46 0. 014 (a) Based on the Minitab output above, is there enough evidence to support the store manager's claim at a = 0.02? Use the p-value hypothesis-testing method. (b) State the 98% confidence interval for the mean of all the number of pages a person copies in the store's copy machine. Is the interval consistent with the conclusion in (a)? Explain your answer. (Answer: (a) H1: u # 40, p-value = 0.014