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The MCAT is a standardized test written by students hoping to get become medical doctors. The MCAT is designed so that the mean score each

The MCAT is a standardized test written by students hoping to get become medical doctors. The MCAT is designed so that themeanscore each year is 500. Suppose you take a simple random sample of test results for 50 students who wrote the MCAT in 2021. You find that the mean score for this sample was 525 with a standard deviation of 125.

(a) [4 marks] Test the claim that the population mean score in 2021 was 500. For full marks, write out the full 8-step process that you have been shown in class. Partial marks will be given for the following:

  • correct null and alternative hypotheses
  • correct test statistic
  • correct P-value
  • correct conclusion

(b) [1 mark] In regular language, what is your conclusion saying? (Is the mean score in 2021 equal to 500 or not?)

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