Math  /  Data & Statistics

Questionand after the diesel exhaust exposure. The resulting data are given in the accompanying table. For purposes of this exercise, assume that the sample of 10 men is representative of healthy adult males. \begin{tabular}{|c|c|c|c|c|} \hline \multirow[t]{2}{*}{Subject} & \multicolumn{4}{|c|}{MPF (in Hz)} \\ \hline & Location 1 before & Location 1 after & Location 2 before & Location 2 after \\ \hline 1 & 6.4 & 8.0 & 6.8 & 9.4 \\ \hline 2 & 8.6 & 12.7 & 9.5 & 11.2 \\ \hline 3 & 7.4 & 8.4 & 6.6 & 10.2 \\ \hline 4 & 8.6 & 9.0 & 9.0 & 9.7 \\ \hline 5 & 9.9 & 8.4 & 9.6 & 9.2 \\ \hline 6 & 8.8 & 11.0 & 9.0 & 11.8 \\ \hline 7 & 9.1 & 14.4 & 7.8 & 9.3 \\ \hline 8 & 7.4 & 11.1 & 8.1 & 9.1 \\ \hline 9 & 6.7 & 7.3 & 7.2 & 8.0 \\ \hline 10 & 8.8 & 11.2 & 7.4 & 9.3 \\ \hline \end{tabular}
Use a table or technology. Round your answers to two decimal places.) ( \square , \square ) Hz

Studdy Solution
Calculate the confidence interval:
Confidence interval: xˉ±t(sn)\text{Confidence interval: } \bar{x} \pm t^* \left(\frac{s}{\sqrt{n}}\right)
Substitute the values:
2.08±t(s10)2.08 \pm t^* \left(\frac{s}{\sqrt{10}}\right)
The 90% confidence interval for the difference in mean MPF at brain location 1 before and after exposure is:
(,) Hz (\square, \square) \text{ Hz}

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