When Wildlife Biologists Study Small Animals, the Animals Are TrappedAn Initial Analysis of the Data Revealed That It Was

Question

Examlex · Accepted Answer

The Answer is a)
Let

\mu _ { w }

represent the population mean winter eastern gray squirrel pulse

\mu _ { s }

represent the population mean summer eastern gray squirrel pulse

\begin{array} { l } H _ { 0 } : \mu _ { w } - \mu _ { s } = 0 \H _ { a } : \mu _ { w } - \mu _ { s } eq 0\end{array}

The problem states that the approximate normality of pulses is plausible; the

t

-procedure is appropriate.

\begin{array} { l } t = \frac { \left( \bar { x } _ { w } - \bar { x } _ { s } ight) - \left( \mu _ { w } - \mu _ { s } ight) } { \sqrt { \frac { s _ { w } ^ { 2 } } { n _ { w } } + \frac { s _ { s } ^ { 2 } } { n _ { s } } } } = \frac { ( 373.2 - 324.6 ) - 0 } { \sqrt { \frac { 50.49 ^ { 2 } } { 48 } + \frac { 128.17 ^ { 2 } } { 43 } } } = 2.330 \P - ext { value } = 0.024 , d f = 53.564\end{array}

b) Since the

P

-value is

< .05

we have sufficient evidence for a difference in summer and winter mean pulse in eastern gray squirrels.

When Wildlife Biologists Study Small Animals, the Animals Are Trapped