Question: A, For the following examples say if it would be most appropriate to use a z-test, one sample t-test, independent sample t-test, paired (dependent) samples

A, For the following examples say if it would be most appropriate to use a z-test, one sample t-test, independent sample t-test, paired (dependent) samples t-test, one way ANOVA, or two way ANOVA.

  1. You want to know if type of therapeutic approaches (cognitive behavioral vs. humanistic) and type of medication (placebo vs. trial medication) have independent and combined impacts on anxiety levels.
  2. You want to compare a sample mean to a population mean and thankfully you know the population mean.
  3. You want to compare the number of times people laugh while watching 2 different Disney movies (Monsters University vs. Tangled). Participants only watch one of the movies and are randomly assigned to each group.
  4. Your stats professor wants you to compare a sample mean to a population mean, but the population mean is unknown.
  5. You design a project that has 1 independent variable with 2 levels. Your advisor says you have to manipulate that variable within subjects.
  6. You do the same experiment as described in letter c, but you use three movies instead of two - Monsters University, Tangled, and Big Hero 6.

B. Fully interpret the interaction depicted in the following graph:

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