Kurtis is a statistician who claims that the population mean annual salary of an employee in Yarmouth is exactly $55,000. Gina, his colleague, believes this to be incorrect, and conjectures that the...

Kurtis is a statistician who claims that the population mean annual salary of an employee in Yarmouth is exactly $55,000. Gina, his colleague, believes this to be incorrect, and conjectures that the population mean annual salary of an employee in Yarmouth is greater than $55,000. To test the claim, Gina randomly selects 61 employees who work in Yarmouth and records their annual salary. Gina calculates the sample mean annual salary to be $56,500 per year with a sample standard deviation of $3,750. The test statistic t for a hypothesis test of H0:μ=55,000 versus Ha:μ>55,000 is t≈3.12. If p-value<0.005 and the="" level="" of="" significance="" is="" α="0.01," which="" of="" the="" following="" statements="" are="" accurate="" for="" this="" hypothesis="" test="" to="" evaluate="" the="" claim="" that="" the="" true="" population="" mean="" annual="" salary="" of="" an="" employee="" in="" yarmouth="" is="" greater="" than="">

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  Fail to reject the null hypothesis that the true population mean annual salary of an employee in Yarmouth is equal to $55,000.

  
  

  
  
  
  




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  Reject the null hypothesis that the true population mean annual salary of an employee in Yarmouth is equal to $55,000.

  
  

  
  
  
  




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  There is enough evidence at the α=0.01 level of significance to support the claim that the true population mean annual salary of an employee in Yarmouth is greater than $55,000.

  
  

  
  
  
  




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  There is not enough evidence at the α=0.01 level of significance to suggest that the true population mean annual salary of an employee in Yarmouth is not equal to $55,000.