Conduct a test of a hypothesis about a population mean

8/22/2016 Check Your Work

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The following information is available.   H0 : μ ≥ 220   H1 : μ < 220   A  sample  of  64  observations  is  selected  from  a  normal  population.  The  sample  mean  is  215,  and  the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.   a. Is this a one­ or two­tailed test?    

  One­tailed test Two­tailed test

  b. What  is  the decision rule?  (Negative amount should be indicated by a minus sign. Round your

answer to 2 decimal places.)  

   Reject    H0 when z <   215     

  c. What  is  the  value  of  the  test  statistic?  (Negative  amount  should  be  indicated  by  a  minus  sign.

Round your answer to 3 decimal places.)  

  Value of the test statistic 14.33        d. What is your decision regarding H0?    

  Do not reject Reject

  e. What is the p­value? (Round your answer to 4 decimal places.)  

  p­value .0001     

 

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