By Roland Caulcutt (auth.)

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We can use these critical values to calculate a 95% confidence interval and a 99% confidence interval as folIows.

This must now be converted to a yield using: x-p.. 53 . 5 Normal probability graph paper Our decision to use the normal distribution as a model was based entirely on Fig. 2. The histogram , which describes the 50 batches in the sampie, closely resembles the normal curve so we conclude that the normal curve might weil describe the population of batches. The normal distribution in Fig. 2 has the same mean and standard deviation as the histogram. Superimposing anormal curve onto a histogram is more difficult than you might imagine.

5' would you reject this suggestion on the evidence of the 50 batches in the sampie? It is very doubtful! c 0 ·3 ~ ... a 0 ·1 e a. 5, what conclusions can we draw conceming future batches? 4 to predict what percentage of future batches will be subjected to any particular number of overloads. e. 4 % of batches will have six overloads. 001) x 100] will have been subjected to at least fiveoverloads during manufacture. The importance of such predictions will depend on whether or not the occurrence of overloads is causing a reduction in yield and/or an increase in impurity.

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