Tristar confectionary 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 50 samples from production unit I and 52 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 201 gm and 3gm respectively. However, for the samples from unit 2, these statistics are 196 gm 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 average population weight and standard deviation in unit 2 is 195 gm and 4 gm (instead of 196 gm and 2.5 gm) respectively 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. Provided that other statistics remain same, what is the probability that the company will close unit 2?

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