Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.025 significance level. The null and alternative hypothesis would be:   H0:pO=pC H1:pO≠pCH1:pO≠pC   H0:μO≥μ H1:μO<μC   H0:pO≤pC H1:pO>pC   H0:μO=μC H1:μO≠μC   H0:μO≤μC H1:μO>μC   H0:pO≥pC H1:pO

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.025 significance level.

The null and alternative hypothesis would be:

 

H0:pO=pC
H1:pO≠pCH1:pO≠pC
 
H0:μO≥μ
H1:μO<μC
 
H0:pO≤pC
H1:pO>pC
 
H0:μO=μC
H1:μO≠μC
 
H0:μO≤μC
H1:μO>μC
 
H0:pO≥pC
H1:pO<pC



The test is:

 

left-tailed
right-tailed
two-tailed



The sample consisted of 65 Orange Coast students, with a sample mean GPA of 2.85 and a standard deviation of 0.05, and 65 Coastline students, with a sample mean GPA of 2.88 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:

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