SOLUTION: Harvard University claims that their students score on the average of 1350 on the SAT exam. A random sample of 121 students reveals an average score of 1300 and a standard deviatio

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Question 1171767: Harvard University claims that their students score on the average of 1350 on the SAT exam. A random sample of 121 students reveals an average score of 1300 and a standard deviation of 40 points. With a significance level of 5%, test the claim of Harvard University.
a. State the null and alternative hypothesis.
b. State the significance level.
c. The theoretical statistic.
d. Compute the test statistic.
e. Test the claim.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: average SAT score is 1350
Ha: it is not 1350
alpha=0.05 p{reject Ho|Ho true}
test stat t(0.975, df=120)=(x bar-mean)/s/sqrt(n)
critical value |t|>1.98
calculation (-50*sqrt(121)/40)=t=-13.75
strongly reject Ho and conclude the true SAT score is not 1350.