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In: Statistics and Probability

The following summary statistics were based on earthquake depth measurements in kilometers (km) randomly selected from...

  1. The following summary statistics were based on earthquake depth measurements in kilometers (km) randomly selected from 10, 594 earthquakes recorded in one year from a location in Southern California. The summary statistics are n = 50, x=9.81 km, and s = 5.01 km.  Show work:
  1. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with mean depth equal to 10 km.
  2. Test the claim by constructing an appropriate confidence interval.    
  3. What are the null and alternative hypotheses?
  4. What is the value of α= significance level?
  5. Is the test two-tailed, left-tailed or right-tailed?
  6. What is the test statistic and what is its distribution?
  7. What is the value of the test statistic?
  8. What is the P-value?
  9. What is (are) the critical value(s)?
  10. How would you state a conclusion that addresses the original claim?

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