2) A new quality assurance process developed in Limpopo by Mr Masela for a newly introduced Sephaku Cement results in a mean strength of 5000 with a standard deviation of 120 kilograms. In order for Mr Masela to test the null hypothesis that μ = 5000 against the alternative that µ < 5000, He random sampled 50 fragments of this cement and tested them. If his critical region was defined to be y < 4970. What will be his probability of not committing type II error when μ = 4960.

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2.STATISTICAL INFERENCE

2) A new quality assurance process developed in Limpopo by Mr Masela for a newly
introduced Sephaku Cement results in a mean strength of 5000 with a standard
deviation of 120 kilograms. In order for Mr Masela to test the null hypothesis that
μ = 5000 against the alternative that µ < 5000, He random sampled 50 fragments
of this cement and tested them. If his critical region was defined to be y < 4970. What
will be his probability of not committing type II error when μ = 4960.
Transcribed Image Text:2) A new quality assurance process developed in Limpopo by Mr Masela for a newly introduced Sephaku Cement results in a mean strength of 5000 with a standard deviation of 120 kilograms. In order for Mr Masela to test the null hypothesis that μ = 5000 against the alternative that µ < 5000, He random sampled 50 fragments of this cement and tested them. If his critical region was defined to be y < 4970. What will be his probability of not committing type II error when μ = 4960.
Expert Solution
Step 1

Given that, 

mean strength=5000

standard deviation=120

number of fragments=50

We have to find probability of not committing type second error when mu=4970

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