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A researcher is interested to see ifsurgeons make a different amount of money, compared to doctors in general. She knows the average salary for doctors

  • A researcher is interested to see ifsurgeons make a different amount of money, compared to doctors in general. She knows the average salary for doctors is = 200 thousand, = 7 thousand. She collects a sample of N = 100 surgeons and determines their average average salary is xbar = 250 thousand, sx= 6 thousand. Given an alpha, = .05, the critical values are +/- 1.96.
  • You will need the equation for the one-sample Z-test. With these, you should know the following:
  • Recognize which type of test has been conducted: One Sample Z-test
  • The null and alternative hypotheses: H0: = 200 thousand and H1: 200 thousand
  1. Calculate and report the inferential statistic.
  2. Is the statistic larger than the critical value(s)?
  3. Are there degrees of freedom for this test? If so, what are they?
  4. Should we retain or reject the null?
  5. Is the P-value less than alpha?
  6. Are the the variables related?
  7. Are the groups different?
  8. Answer the research question in everyday words! What would you say to someone on an elevator about being a surgeon and salary?

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