A famous educator claims that the mean salary for senior lecturers in City B is $67,300. A random sample of 36 senior lecturers shows a mean salary of $65,000, with a standard deviation of $5,200. An officer argued that the average salary is below $67,300. (i) Assume that α = 0.01, determine the rejection region.  (i) Compute the value of the test statistic.  (iii) Test at the 1% level of significance to see if there is any evidence that the claim of the officer is valid. State your decision and conclusion clearly.

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