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president of a university claims that the mean time spent partying by all students at this university is not more than The 7 hours per

president of a university claims that the mean time spent partying by all students at this university is not more than The 7 hours per week.A random sample of 40 students taken from this university showed that they spend an average of 9.50 hours partying the previous week with a standard deviation of 2.3 hours.Test at a 2.5 percent significance level whether the president's claim is true. Explain your conclusion in words.

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