10 17 A new curing process developed for a certain type of cement results in a mean compressive strength of 5000 kilograms per square centimeter with a standard deviation of 120 kilograms To test the hypothesis that 5000 against the alternative that 5000, a random sample of 50 pieces of cement is tested The critical region is defined to be x 4970 (a) Find the probability of committing a type I error when H0 is true (b) Evaluate for the alternatives 4970 and 4960

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Question: 10.17 A new curing process developed for a certain type of cement results in a mean compressive strength of 5000 kilograms per square centimeter with

10.17 A new curing process developed for a certain type of cement results in a mean compressive strength of 5000 kilograms per square centimeter with a standard deviation of 120 kilograms. To test the hypothesis that μ = 5000 against the alternative that μ < 5000, a random sample of 50 pieces of cement is tested. The critical region is defined to be ¯x < 4970.

(a) Find the probability of committing a type I error when H0 is true.

(b) Evaluate β for the alternatives μ = 4970 and

μ = 4960.

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