A process for making steel pipe is under control if the diameter of the pipe has a mean of 3.0000 inches with a standard deviation of 0.0250 inch. To check whether the process is under control, a random sample of size n = 30 is taken each day and the null hypothesis u = 3.0000 is rejected if X is less than 2.9960 or greater than 3.0040. (b) Find the probability of Type-1 error (a). (c) Find the probability of type-Il error (B) when u= 3.0050 inches.

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