Question 3 (31 points): Let's use the data below that relates to the cost of modifying equipment, when implementing the ISO 9000 international quality assurance standards process, for a sample of 72 SMEs. Cost 13 790 $ 13 030 $ 11 005 $ 11 850 $ 13 860 $ 14 000 S 12 677 S 12 430 $ 14 080 S 13 375 $ 11 827 $ 13 220 $ 13 138 $ 12 675 $ 12 464 $ 13 180 $ 12 974 $ 13 768 $ 12 898 $ 14 486 $ 13 882 $ 14 000 $ 13 600 $ 12 598 $ 12 294 $ 14 140 $ 13 145 $ 12 534 $ 14 497 $ 13 072 $ 13 190 $ 12 960 $ 11 827 S 12 115 $ 12 488 S 11 916 $ The data were tabulated using an absolute frequency distribution. Classes Number of (Modification Costs) SME 11000 X < 11500 2 11500X< 12000 12000X< 12500 125005X < 13000 13000SX< 13500 9 16 16 "135005 X< 14000 14000 X < 14500 10 The statistical hypotheses that we want to submit to the test of fit are: Ho: The cost of modification is distributed according to a normal distribution .Hi: The cost of modification is not distributed according to a normal distribution. a) What is the expression for the reduced center variable required to transform the bounds of the absolute frequency distribution?