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?

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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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