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A university wants to know if the average salary of its graduates has increased since 2010.The average salary of graduates prior to 2010 was $48,000.Since 2010,the university surveyed 256 graduates and found an average salary of $48,750.Assume that the standard deviation of all graduates' salaries is $7,000.
a.Specify the null and alternative hypotheses to determine whether the average salary of graduates has increased.
b.Calculate the value of the test statistic and the critical value at a 5% significance level.
c.At the 5% significance level,can you conclude that salaries have increased? Explain.
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