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An instructor wants to know whether there is a difference between the statistic tutorial group and the non-statistic tutorial group ( who did not take

  1. An instructor wants to know whether there is a difference between the statistic tutorial group and the non-statistic tutorial group ( who did not take any tutorial ) in exam performance. The instructor runs an experiment with two groups ( tutorial group and non-tutorial group) and measures their performance in the exam. The data collected from the experiment is provided below. Use this data and an alpha of .01 to decide if there is a difference in exam performance between individuals within two groups ( tutorial group vs non-tutorial group).
Tutorial Non-tutorial
82 79
s2 11.2 2.1
n 21 21

  1. State the null and alternative hypotheses in symbols. (1 point)
  2. Set up the criteria for making a decision, that is find the critical value(s) (1 point)
  3. Compute the appropriate test statistic: show your work ( take a picture and send it back to me) (3 points)
  4. Based on the results, evaluate the null hypothesis ( circle one) (1 point)

Reject Fail to Reject

  1. State your conclusion in words (1 point)

  1. Compute the 99% confidence interval. (2 points)

  1. Interpret (in words) the confidence interval you calculated above (1 point)

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