Question: The width ofa plastic component is normally distributed with a standard deviation of 2.15 mm. The minimum acceptable width is 49 mm. The quality engineer

The width ofa plastic component is normally distributed with a standard deviation of 2.15 mm. The minimum acceptable width is 49 mm. The quality engineer analyses the following sample:

a) If the average width was equal to the sample mean, what would the percentage of defective components be?

b) Build a 95% confidence interval for the average width.

c) If the average width was the lower limit of the interval obtained in previous question, what would the percentage of defective components be?

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