researcher is interested in whether students who attend private high schools hav

Question

researcher is interested in whether students who attend private high schools have higher average SAT Scores than students in the general population. A random sample of 90 students at a private high school is tested and and a mean SAT score of 1030 is obtained. The average score for public high school student is 1000 (s= 200).

a. Is this a one- or two tailed test?

b. What are H0 and Ha for this study?

c. Compute Z obt

d. What is the Z critical value (Z cv ) using a 0.05 alpha level?

e. Should H0 be rejected? What should the researcher conclude?

f. Determine the 95 % confidence interval for the population mean, based on the sample mean.

Explanation / Answer

1. This is a one tailed test because the prediction is that the private high school students will have higher scores, thus there is a bias. 2. The Hypothesis – or the Ha = that the private high school students will have a higher average SAT Score than the students in the general population. The Null Hypothesis – or the Ho = that the private high school students will not have a higher average SAT score than the students of the general population. 3. Zobt=v(n)(Mn-M)/s=v(90)(1030-1000)/200=1.423 4. From table Zcv=1.645 5. Zobt

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