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Chapter 9. Dr. Elle believes that it takes less than 7 hours for each student in her Statistics classes to complete their weekly problem sets.

Chapter 9. Dr. Elle believes that it takes less than 7 hours for each student in her Statistics classes to complete their weekly problem sets. However, most of the students disagree with this assessment and claim that it takes them much longer. In the spirit of using Statistics correctly, Dr. Elle collects data from a class of 21 students and finds that the average time taken to complete each weekly problem set is 7.5 hours with a standard deviation of 1.5 hours. Do the data support Dr. Elle's claim at the 10% level? Round numbers to 2 places after decimal, unless asked otherwise.

HINT: Remember that since we do not know the population variance, we should use t-distribution (like the textbook example).

  1. The null hypothesis for this question is mu >= 7. Write True/False:
  2. What is the alpha value that we are considering to evaluate this problem?
  3. What is the absolute value of the test-statistic?
  4. What is the absolute critical value?
  5. What is your final decision? (write "reject Ho" or "fail to reject Ho" in the blank):

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