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In: Statistics and Probability

A research lab has developed a new instructional technique for statistics. They chose five class topics...

A research lab has developed a new instructional technique for statistics. They chose five class topics and completed five separate studies. For each study, they selected a new sample of students, used the new technique to teach the specific topic, then gave the sample of students a test on that topic. Below are the mean test scores for each of the five studies, along with the population means for students taking the test after the 'traditional' instructional technique. For each of the five studies:

  • carry out a z-test using the expanded hypothesis testing steps, using a two-tailed test and .05 significance level
  • explain the decision the research lab should make for each topic (that is, should the new technique be used to teach the topic covered by the study or not)
  • make a drawing of each distribution
  • calculate the 95% confidence interval for each study
Topic Sample Test Score Mean Sample Test Score SD N Population Test Score Mean Population Test Score SD

Topic A

87 16 40 82 20
Topic B 82 21 44 75 18
Topic C 60 17 49 67 22
Topic D 81 20 45 74 24
Topic E 92 11 38 87 14

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