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Q1- The mean value of the weight of product X is normally distributed with average (0.297 kg) and Standard deviation (0.024 kg). Find the percentage of product that their weights are below 0.274 kg?

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Q2- In the context of variability, two production lines have been studied. Figures depict their performance. Which production line performs better? Why?

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Q3- Samples of size n=5 are taken from a manufacturing process every hour

.A quality characteristic is measured, and x-bar and R are computed for each sample.After 25 samples have been analyzed we have

Find the center lines and control limits for the x-bar and R charts.

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Q4- Does the process appear to be in statistical control? Why or why not? What course of action should be taken for if there is assignable causes?

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Q5- A process is in statistical control with x(double bar) = 39.7 and R(bar) = 2.5.The control chart uses a sample size of n = 2.Specifications are at 40 +/- 5.The quality characteristic is normally distributed.Estimate the potential capability of the process and explain your conclusion.

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