A new cure has been developed for a certain type of cement that results in a compressive strength of 5,000 kilograms per square centimeter and a standard deviation of 120. To test the hypothesis that =5,000 against the alternative that<5,000, a random sample of 50 pieces of cement is tested. The critical region is defined to be x<4970. Find the probability of committing a type 1 error when H0 is true. Evaluate for the alternative =4970 and=4960

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