A researcher is interested in whether students who play chess have higher average SAT scores than students in the general population. A random sample of 75 students who play chess is tested and has a mean SAT score of 1070. The average () is 1000 (

= 200).

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

b. What are H0 and Ha for this study?

c. Compute zobt.

d. What is zcv?

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

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