An economist collects a simple random sample of 32 teacher's salaries in Cititon, and finds a mean of $67,000 and a standard deviation of $8,000. Is there enough evidence to conclude, at a significance of alpha= 0.05, that the mean salary of teachers in Cititon is different than $70,000? What is the test statistic? What is the null hypothesis? What conclusion do we draw? Do we reject the null hypothesis? What is/ are the critical value(s)? What is the alternative hypothesis? What is the p-value for the problem above?

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