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Please distinguish between a standard deviation and a standard error Please compare and contrast a t-distribution from a z-distribution. Define a Type I and Type

  1. Please distinguish between a standard deviation and a standard error
  2. Please compare and contrast a t-distribution from a z-distribution.
  3. Define a Type I and Type II error.
  4. Define a P-value. Suppose you just conducted a hypothesis test, and you obtain a P-value that is less than . Please discuss whether or not you should reject the null hypothesis (i.e., )?
  5. Suppose you have extremely non-normally distributed data and your sample size is small. In your own words, please describe whether you would perform a hypothesis test on the population median or the population mean.

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