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Using the Z-Test for mean mu, sigma known Employees at a construction and mining company claim that the mean salary of the company's mechanical engineers

Using the Z-Test for mean mu, sigma known Employees at a construction and mining company claim that the mean salary of the company's mechanical engineers is less than that of one of its competitors, which is $88,200. A random sample of 20 0f the company's mechanical engineers has a mean salary of $85,900. Assume the population standard deviation is $9,500 and the population is normally distributed. At =0.05, test the employees' claim

A. State the null and alternative hypothesis

B. Determine the critical value by using Z-Table

C. Determine the rejection region

D. Find the standardized test statistic

E. Make a decision to reject or fail to reject the null hypothesis

F. Is there a probability of making type I error (Yes or No).

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