In: Statistics and Probability
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: