Question

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 0.05 significance level.

a) The null and alternative hypothesis would be:

H0:μO=μC. H0:μO=μC
H1:μO≠μC. H1:μO≠μC

H0:pO≤pC. H0:pO≤pC
H1:pO>pC. H1:pO>pC

H0:μO≤μC. H0:μO≤μC
H1:μO>μC. H1:μO>μC

H0:pO=pC. H0:pO=pC
H1:pO≠pC. H1:pO≠pC

H0:μO≥μC. H0:μO≥μC
H1:μO<μC. H1:μO<μC

H0:pO≥pC. H0:pO≥pC
H1:pO<pC. H1:pO<pC



b) The test is:

two-tailed

right-tailed

left-tailed



The sample consisted of 80 Orange Coast students, with a sample mean GPA of 3.34 and a standard deviation of 0.05, and 80 Coastline students, with a sample mean GPA of 3.35 and a standard deviation of 0.02.

c) The test statistic is:  (to 2 decimals)

d) The p-value is:  (to 2 decimals)

e) Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
Math   Statistics-And-Probability   
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