Nabico industry has two different production units to produce their popular biscuit, which comes in the package they claim to be 200gm. The line manager collected 40+a=.... samples from production unit 1 and 45+ß=... samples from production unit 2 for the analysis. The historical data shows that the average population weight and the standard deviation of product from unit 1 are 205-y=..... and 3gm respectively. However, for the samples from unit 2, these statistics are 198-8=.. and 2.5gm respectively. Based on the available data, calculate the probability that the difference in average weight between the product of unit 1 and unit 2: a. Exceeds 6 gm. b. Lies in between 5.0 gm to 7.0 gm. c. Assume that the population standard deviation in unit 2 is 6 gm (instead of 2.5gm) and the company will close unit 2 if the difference in the weight of product between unit 1 and unit 2 exceed 6.5 gm. Will the company close unit 2, provided that other statistics remain same? Justify your answer based on appropriate analysis. (3.0) (3.0) (3.0)

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