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(a) Rejects of Metal Castings were classified by cause of rejection for three different weeks, as given in the following tabulation. Frame the Hypothesis and conclude if the distribution of rejects differs from week to week? Consider a significance at 10% [3] Core Sand Mis run Shift Drop Broken Others break Week 1 97 8 18 23 21 5 Week 2 120 15 12 13 21 17 15 Week 3 82 4 0 12 38 25 19 (b) A certain company would like to determine the amount of time employees waste at work each day. A random sample of 10 of its employees shows a mean time of 121.80 minutes wasted per day with a standard deviation of 9.45 minutes per day. Does the data provide evidence that the mean amount of time wasted by employees each day is more than 120 minutes? Test at a=.05. Assume the population is at least approximately normally distributed. [2]