Question: Problem 1. (40%) In this problem, we use CLT to test the validity of a statistical model. A battery manufacturer claims that the run time

Problem 1. (40%) In this problem, we use CLT to test the validity of a statistical model. A battery manufacturer claims that the run time of a new "ultra strong" laptop battery has a population mean of 40 hours with a standard deviation of 5. A random sample X1, ..., Xn of size n = 100 is taken. (a) Find an approximation to P(X

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