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Suppose the dean believes that the average salary of the population should be about $55k per year, with a standard deviation of $9k. We need to conclude that the mean salary is less than what the dean has believed to be.
(a) What are the null and alternate hypotheses?
(b) What is the level of significance?
(c) What is the standard error?
(d) Decide on the test statistic and calculate the value of the test statistic (hint: write the equation and calculate the statistic)?
(e) What's your decision regarding the hypothesis and interpret the result using test-score rejection region rule or p value rule.
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