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QUESTION

At Western University the historical mean scholarship examination score of entering students has been 900, with a standard deviation of 180.

At Western University the historical mean scholarship examination score of entering students has been 900, with a standard deviation of 180. Each year a sample of applications is taken to see whether the examination scores are at the same level as in previous years. The null hypothesis tested is H0: μ = 900. A sample of 60 students in this year’s class provided a sample mean score of 935. Use a 0.05 level of significance. Compute the probability value. What is your conclusion based on this value?

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