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4. At a computer manufacturing company, the actual size of computer chips is distributed with a...


4. At a computer manufacturing company, the actual size of computer chips is distributed with a mean of 1 centimeter and a population standard deviation of 0.15 centimeter. A random sample of 25 computer chips is taken.
a. What is the probability that the sample mean will be greater than 1.01 centimeters? (Please show your calculation, 4 points)
b. To solve this problem, do you need to make any assumption about the population distribution? Why? (4 points)

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