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manufacturer makes integrated circuits that each have a resistance layer with a target thickness of 261...

manufacturer makes integrated circuits that each have a resistance layer with a target thickness of 261 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 261 units and a standard deviation of 12 units A random sample of 100 measurements is selected for a quality inspection. We can assume that the measurements in the sample are independent. What is the probability that the sample mean will be between 251 and 271

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