A researcher hypothesizes that individuals who listen to classical music will score differently from the general population on a test of spatial ability. On a standardized test of spatial ability, μ = 58. A random sample of 14 individuals who listen to classical music is given the same test. Their scores on the test are 52, 59, 63, 65, 58, 55, 62, 63, 53, 59, 57, 61, 60, 59.

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

b. What are H₀ and H_a for this study?

c. Compute t_obt.

d. What is t_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.