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(40 pt) The Final Exam scores for all students enrolled in STAT 200 have a mean score of 72.One randomly selected section of STAT 200

  • (40 pt) The Final Exam scores for all students enrolled in STAT 200 have a mean score of 72.One randomly selected section of STAT 200 had the following exam results:

61, 64, 68, 70, 72, 72, 77, 84, 86, 91, 92, 96

Did students in this section score significantly better on the Final Exam?Let = 0.05 and complete the following steps.

  • Identity the random variable and the parameter in words.

  • State the null and alternative hypotheses in words AND mathematically.

  • Collect sample statistics.

  • Identify the type of hypothesis test.

  • State and test the assumptions for this test.

  • Calculate the test statistic, showing your work.

  • Determine p, showing your work.

  • State your decision about the hypothesis in words (using complete sentences).

  • State your conclusion about the real-life situation in words (using complete sentences).

  • If your conclusion is incorrect, what type of error did you make?Explain.

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