French Wade
01/18/2023 · Elementary School

Deer mice (Peromyscus maniculatus) are small rodents native to North America. Their adult body lengths (excluding tail) are known to vary approximately Normally, with mean \( \mu=86 \) millimeters (mm) and standard deviation \( \sigma=8 \mathrm{~mm} \). Deer mice are found in diverse habitats and exhibit different adaptations to their environment. A random sample of 14 deer mice in a rich forest habitat gives an average body length of \( \bar{x}=91.1 \) mm . Assume that the standard deviation \( \sigma \) of all deer mice in this area is also 8 mm. Here is the output from the TI-83 graphing calculator for a \( 95 \% \) confidence interval based on these findings: ZInterval (86.909, 95.291)

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The 95% confidence interval for the average body length of deer mice in this forest habitat is (86.909, 95.291) mm, indicating that the average length is likely higher than the general population mean of 86 mm.

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