The null and alternate hypotheses are: H 0 : μ 1 = μ 2 H 1 : μ 1 ≠ μ 2 A random sample of 10 observations from one population revealed a sample mean of 22 and a sample standard deviation of 3.7. A...

The null and alternate hypotheses are:

H
₀ :μ
₁ =μ
₂


H
₁ :μ
₁ ≠μ
₂

A random sample of 10 observations from one population revealed a sample mean of 22 and a sample standard deviation of 3.7. A random sample of 7 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5.0.

At the 0.10 significance level, is there a difference between the population means?

1. 
   

   State the decision rule.(Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)
   

   
   

1. 
   

   Compute the pooled estimate of the population variance.(Round your answer to 3 decimal places.)
   

   
   

1. 
   

   Compute the test statistic.(Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
   

   
   

1. 
   

   State your decision about the null hypothesis.

   
   

multiple choice 1

• 
  
  
  

  RejectH
  ₀.

  
  
  
  


• 
  
  
  

  Do not rejectH
  ₀.

  
  
  
  

1. 
   

   Thep-value is

   
   

multiple choice 2

• 
  
  
  

  between 0.1 and 0.05

  
  
  
  


• 
  
  
  

  less than 0.001

  
  
  
  


• 
  
  
  

  between 0.02 and 0.05

  
  
  
  


• 
  
  
  

  between 0.001 and 0.01

  
  
  
  


• 
  
  
  

  between 0.1 and 0.2