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(Solution document) Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.1 significance level. The...


Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.1 significance level.


The null and alternative hypothesis would be:

H0:pN=pDH0:pN=pD

H1:pN?pDH1:pN?pD


H0:pN?pDH0:pN?pD

H1:pN


H0:?N=?DH0:?N=?D

H1:?N??DH1:?N??D


H0:?N??DH0:?N??D

H1:?N>?DH1:?N>?D


H0:?N??DH0:?N??D

H1:?N


H0:pN?pDH0:pN?pD

H1:pN>pDH1:pN>pD




The test is:

left-tailed


two-tailed


right-tailed




The sample consisted of 75 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.07, and 75 day students, with a sample mean GPA of 2.11 and a standard deviation of 0.05.


The test statistic is: (Please round to 2 decimals)


The p-value is: (Please round to 2 decimal places and use the following formula for the degrees of freedom: lesser of (n1 - 1) or (n2 - 1).


Based on this we:

  • Reject the null hypothesis
  • Fail to reject the null hypothesis

 

What do the results tell us about the mean GPA of night students as compared to the mean GPA of day students? Please provide a brief explanation. 

 


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