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 musing 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 \({{t}_{obs}}\)
4. What is \(t_{c v} ?\)
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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