Question: 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
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 < 4970.
1. Find the probability of committing a type I error when H is true.
2. Evaluate β for the alternatives μ = 4970 and μ = 4960.
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