Convincing Features
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Uploaded by Malaysia Assignment Help
Date
Goodtaste
A coffee manufacturer has recently been prosecuted for selling an underweight 100g jar of coffee. You have been asked to assist the quality control manager who is investigating the problem. Jars are filled automatically and the filling machine can be preset to any desired weight.
For the 100g jars of coffee, a weight of 101g is set. There is no subsequent checking of the weight of individual jars, although samples are occasionally taken to check for quality. The standard deviation will depend to a certain extent on the mean weight, but for weights between 90g and 110g, it is virtually constant at 1.5g.
You have been asked to apply your knowledge of the normal distribution to the problem. In particular, you have been told that prosecution only occurs when the product is underweight by more than 2%, so you need to find the probability that such a weight could happen by chance.
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