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A study  examined whether or not noses continue to grow throughout a person’s lifetime.  The study included many...

A study  examined whether or not noses continue to grow throughout a person’s lifetime.  The study included many measurements (including size of the nose as measured by total volume) and included multiple tests.  For each of the tests described below:

            a)  State the null and alternative hypotheses.

            b) Give a formal decision using a 5% significance level, and interpret the conclusion in context.

  • In a test to see whether males, on average, have bigger noses than females, the study indicates that “p < 0.01.”
  • In a test to see whether there is a positive linear relationship between age and nose size, the study indicates that “p < 0.001.”

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