A sample of 42 observations is selected from a normal population. The sample mean is 41, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05...

A sample of 42 observations is selected from a normal population. The sample mean is 41, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level.

H
₀: μ = 43

H
₁: μ ≠ 43

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

multiple choice 1

• 
  
  
  

  One-tailed test

  
  
  
  


• 
  
  
  

  Two-tailed test

  
  
  
  

1. What is the decision rule?

multiple choice 2

• 
  
  
  

  RejectH
  ₀ if −1.960 z <>

  
  
  
  


• 
  
  
  

  RejectH
  ₀ ifz < −1.960="">z > 1.960

  
  
  
  

1. What is 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 regardingH
   ₀?

multiple choice 3

• 
  
  
  

  Fail to rejectH
  ₀
  

  
  
  
  


• 
  
  
  

  RejectH
  ₀
  

  
  
  
  

1. 
   e-1. What is thep-value?(Round yourz value to 2 decimal places and final answer to 4 decimal places.)
   

1. 
   e-2. Interpret thep-value?(Round yourz value to 2 decimal places and final answer to 2 decimal places.)