Question

In: Statistics and Probability

Test the claim that the mean GPA of Orange Coast students is significantly different than the...

Test the claim that the mean GPA of Orange Coast students is significantly different than the mean GPA of Coastline students at the 0.2 significance level.

The null and alternative hypothesis would be:

H0:pO≥pCH0:pO≥pC
H1:pO<pCH1:pO<pC

H0:μO=μCH0:μO=μC
H1:μO≠μCH1:μO≠μC

H0:μO≥μCH0:μO≥μC
H1:μO<μCH1:μO<μC

H0:μO≤μCH0:μO≤μC
H1:μO>μCH1:μO>μC

H0:pO=pCH0:pO=pC
H1:pO≠pCH1:pO≠pC

H0:pO≤pCH0:pO≤pC
H1:pO>pCH1:pO>pC



The test is:

left-tailed

right-tailed

two-tailed



The sample consisted of 20 Orange Coast students, with a sample mean GPA of 2.06 and a standard deviation of 0.02, and 20 Coastline students, with a sample mean GPA of 2.03 and a standard deviation of 0.08.

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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