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D Question 16 10 pts A study suggests that review sessions before tests reduce student anxiety (that is, anxiety scores are lower after review sessions). The college had students take an anxiety test before and after a review session was held for their MTH 245 class. A random sample of 12 students' anxiety scores were assessed. The difference d - before review session score - after review session score was found for each student. The mean of the differences was d = 6.1 points and the standard deviation of the differences was 8d = 6.4 points. You may assume that the differences have a normal distribution a) Find a 99% confidence interval for the mean of the differences. Round to 2 decimal places, b) Interpret your confidence interval in context. c) Preform a significance test with a = 0.05 to determine if the difference in scores before and after the review session is positive by following the steps in i) - vi) i) State your Hypotheses mathematically (not in words): il) Confirm the Assumptions to test difference of the population means Huidi ii) Find the Test Statistic (round to 3 decimal places): iv) Critical Value(s)/Region(s): 1) Conclude your test: Reject H. or Fail to Reject H? vi) Interpret your conclusion in the context of the claim:
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