Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. The mean number of units produced by...

Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. The mean number of units produced by a sample of 57 day-shift workers was 348. The mean number of units produced by a sample of 67 night-shift workers was 353. Assume the population standard deviation of the number of units produced on the day shift is 23 and 33 on the night shift.

At the 0.02 significance level, is the number of units produced on the night shift larger?

1. 
   

   Is this a one-tailed or a two-tailed test?

   
   

• 
  
  
  

  
  

  One-tailed test

  
  

  
  
  
  


• 
  
  
  

  
  

  Two-tailed test

  
  

  
  
  
  

1. 
   

   State the decision rule.
   (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
   

   
   

1. 
   

   Compute the value of the test statistic.
   (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
   

   
   

1. 
   

   What is your decision regarding
   H
   ₀?

   
   

• 
  
  
  

  
  

  Reject
  H
  ₀.

  
  

  
  
  
  


• 
  
  
  

  
  

  Do not reject
  H
  ₀.