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Answer to Question #1073 in Statistics and Probability for austin

Question #1073
A researcher hypothesizes that people who listen to music via headphones have greater hearing loss and will thus score lower on a hearing test than those in the general population. On a standard hearing test, the overall mean for the general population is 22.5. The researcher gives this same test to a random sample of 12 individuals who regularly use headphones. Their scores on the test are 15, 14, 20, 20, 25, 22, 21, 19, 16, 17, 21, 22.

a. What statistical test should be used to analyze the data?

Expert's answer
a. We should use two-tailed t test.

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Assignment Expert
21.11.10, 11:09

The sample mean = 19.33, standard error = 0.94<div>a. We should use t test</div><div>b. Two-tailed</div><div>c. Ho: the sample average is equal to the population mean.</div><div> Ha: & the sample average is not equal to the population mean.</div><div>d. t<sub>obt</sub> = (22.5 - 19.33)/0.94 = 3.37 > t <sub>crit for alpha= 5% lt;/sub>= 2.2</div><div>e. Ho shouldn't & be rejected, the sample average can be equal to the population mean.</div><div>

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