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A manufacturer makes integrated circuits that each have a resistance layer with a target thickness of...

A manufacturer makes integrated circuits that each have a resistance layer with a target thickness of 200 units. A circuit won't work well if this thickness varies too much from the target value. These thickness measurements are approximately normally distributed with a mean of 200 units and a standard deviation of 12 units. A random sample of 16 measurements is selected for a quality inspection. We can assume that the measurements in the sample are independent.

What is the probability that the mean thickness in these 16 measurements ̅? is farther than 6 units away from the target value?

Math   Statistics-And-Probability   
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TOPIC:Sampling distribution of the sample mean and the required probability.

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