Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.005 significance level. The null and alternative hypothesis would be: H0:pN=pD H1:pN≠pD...

• H0:pN=pD
  H1:pN≠pD
  
  
  
  


• H0:pN≥pD
  H1:pN<>
  
  
  
  


• H0:μN≥μD
  H1:μN<>
  
  
  
  


• H0:μN≤μD
  H1:μN>μD
  
  
  
  


• H0:pN≤pD
  H1:pN>pD
  
  
  
  


• H0:μN=μD
  H1:μN≠μD

The test is:

The sample consisted of 70 night students, with a sample mean GPA of 2.16 and a standard deviation of 0.07, and 70 day students, with a sample mean GPA of 2.18 and a standard deviation of 0.06.

The test statistic is: (to 2 decimals)


The p-value is: (to 2 decimals)


Based on this we: