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It is reported that the population mean score on the quantitative portion of the Graduate Record Examination (GRE) General Test for students taking the exam

It is reported that the population mean score on the quantitative portion of the Graduate Record Examination (GRE) General Test for students taking the exam between 2016 and 2019 was 151 with population standard deviation 8.5. Suppose we select a sample of 100 participants (n = 100) this year and we record a sample mean equal to 153. Can we conclude the average GRE score has increased with significance level of 0.02?

  • Hypothesis?
  • p-value?

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