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Question In a clothing factory, the time taken by machines to manufacture a certain type of shirt, are assumed to be Normally distributed with a mean of 44 minutes and a standard deviation of 4 minutes. Not yet answered a) Determine the value oft, if 10.56% of the shirts take more than t minutes to be manufactured. Marked out of 4.00 P Flag question b) Find the probability that a shirt picked at random, took between 42 and 51 minutes to manufacture. c) If a shirt took less than 45 minutes to be made, calculate the probability that it in fact took more than 42 minutes to make. I The owner of the factory believes that the mean time is greater than 44 minutes, due to the aging machinery. He finds that the mean manufacturing time of a random sample of 4 shirts to be 47 minutes. d) By clearly stating suitable hypotheses, test at the 5% level of significance the owner's belief Select one: O a. t = 49 0.6514 0.4847 not significant O b. t = 53 0.6514 09:33