A 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 has a mean SAT score of 1050. The average score for public high school students is 1000 (σ = 200).

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

b. What are H₀ and H_a for this study?

c. Compute z_obt.

d. What is z_cv?

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.