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A professor wants to know whether students who study more for the Midterm Examination score higher on the Examination.Examination Scores and Study Hours are collected

A professor wants to know whether students who study more for the Midterm Examination score higher on the Examination.Examination Scores and Study Hours are collected from last semester's class (which is assumed to represent a random sample of the population of all students) and placed in a worksheet named "Study Hours" in the "Final Examination 2021.xlsx" file.Based on these data:

  1. What is the null hypothesis (in words)?
  2. What is the alternative hypothesis (in words)?
  3. What statistical test are you using to test this hypothesis?
  4. Does this problem call for adirectionaltest or anon-directionaltest?Why?
  5. Based on these data, can you be 95% confident that, in the population, students who study more for the Midterm Examination score higher on the Examination?(Yes or No)Justify your answer
  6. What is your best estimate of the Midterm Examination score of a student who studies for 10 hours?Justify your answer
  7. What is your best estimate of the proportion of the variation in the Midterm Examination scores that is predictable from Study Hours in the population?
  8. In the context of the professor's objective, what is the interpretation of the intercept parameter estimate?
  9. In the context of the professor's objective, what is the interpretation of the slope parameter estimate?
  10. In the context of this particular problem, what is the difference in interpretation between the p-value associated with the Global F statistic and the p-value associated with th Study Hours parameter estimate?

Study Hours14 13 13 14 17 16 14 13 15 13 20 14 14 11 14 14 10 17 15 18 16 13 15 10 12 14 13 12 13 13 14 13 16 11 13 14 15 13 16 15 12 16 17 16 16 14 12 14 11 14

Exam Score84 77 85 69 84 91 77 73 80 81 83 78 85 89 73 81 73 82 77 86 78 74 82 85 73 81 79 86 82 76 72 80 83 75 88 83 85 79 77 78 79 85 81 80 89 85 74 75 76 75

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