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A random sample of 12 high school seniors took a standardized mathematics test and made scores:...

A random sample of 12 high school seniors took a standardized mathematics test and made scores: 78, 78, 65, 77, 65, 81, 83, 59, 76, 75, 83, 59 Past scores at the same high school have been Normally distributed with LaTeX: \sigma σ =9.3 Is this sample evidence at the α =0.01 level that the average test score for all students is less than 75? State the hypotheses and calculate a test statistic and P-value in order to answer the question.

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