The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. a) Develop the appropriate null and alternative hypotheses. b) Assuming the standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the t-statistic

The test statistics is    

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  100

  The null hypothesis  is  

   The alternative hypothesis is  

   The sample mean is  

    The standard deviation is  

    The level of significance is  

Generally the test statistics is mathematically represented as

=>      

=>          

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step-by-step explanation:

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step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.