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You are interested in testing whether vitamin C helps shorten the duration of cold symptoms. For 100 people who present with cold symptoms, you randomize

  1. You are interested in testing whether vitamin C helps shorten the duration of cold symptoms. For 100 people who present with cold symptoms, you randomize them to take vitamin C or a placebo, and have them check in on an app each day to report whether their symptoms have resolved. By day 10, all subjects have reported that their symptoms have stopped. You make histograms for the number of days for each group and they do not appear normally distributed. You want to test whether themedian number of days of symptoms is different between those who took vitamin C and those who did not. Which of the below tests would be appropriate to address this question?
  2. T-test with unequal variances
  3. Mantel-Haenszel test.
  4. Analysis of Variance
  5. Z-test of proportions
  6. Permutation test

2. Which of the following are true for *both* an Analysis of Variance (ANOVA) and a t-test?

A. Both are appropriate for comparing the means of continuous data between different groups.
B. Both use statistics that capture how different the groups are, scaled by a measure of how much variability there is within the groups.
C. Both require the data to be normally distributed, with equal variance.
D. If you can reject the null hypothesis, you can conclude that the means of all groups are different.
E. only A and B are true
F. A,B,C, and D are all true

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