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Hypothesis testing and greater means

Use the traditional approach. Draw a graph showing the test statistic and critical values. Assume the population has a distribution that is approximately normal and the sample is simple random. Use the normal distribution or the Student t distribution, whichever is appropriate.

Many college students require more than 4 years to complete a bachelors degree. At the 0.10 significance level, test the claim of her counselor who states that the mean time is greater than 5 years. Sample data consist of a mean of 5.15 years and a standard deviation of 1.68 years for 80 randomly selected college graduates.