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I. State clearly a research question about two independent means. (Ho: kt = P2) (5 points)

  1. Get data (with it at least 30 for each sample) in order to be able to test the hypothesis. (Naturally most of you will gather data that comes from convenience samples, but treat your data as if it is from simple random samples that are known to be normally distributed.) Please describe how you gathered your data. (10 points)
  2. Pick and justify your own significance level a and alternative hypothesis. (10 points)
  3. Create a histogram and normal quantile plot for each data set and comment on the shape and normality. Make sure to pick and justify an appropriate class width for the histograms. (20 points)
  4. Use the appropriate five-step hypothesis test procedure to determine what can be concluded about the null hypothesis. Make sure to include null and alternative hypotheses, test statistic and P-value. (20 points)
  5. State your level of confidence. Make sure that it correctly corresponds to what you picked in (3) based on the alternative hypothesis, i.e. (1 — a)100% or (1 — 2a)100%. (5 points)
  6. With the same sets of data, construct and interpret the appropriate confidence interval. (20 points)
  7. Compare your results in (5) and (7) and make sure that you draw the same conclusions about the statistical significance. (10 points)
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