Question: 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, \(\mu=58\). 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

1. Is this a one- or two-tailed test?
2. What are \(H_{0}\) and \(H_{a}\) for this study?
3. Compute \(t_{obt}\)
4. What is \(t_{cv} ?\)
5. Should \(H_{0}\) be rejected? What should the researcher conclude?
6. Determine the \(95 \%\) confidence interval for the population mean, based on the sample. mean.

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