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A sample of 36 observations is selected from a normal population.  The sample mean is 12 and...

A sample of 36 observations is selected from a normal population.  The sample mean is 12 and the population standard deviation is 3.  The null hypothesis: the mean is equal to 10.  The alternate hypothesis: the mean is greater than 10.  

Please test the null hypothesis at the .01 significance level.  (Show your work for credit.)

  1. Is this a one- or a two tailed test?   __________
  2. What is your decision rule (include the critical value of z).  
  3. What is the value of the test statistic (actual value of z)?
  4. What is your decision?
  5. What is the p-value?

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