Cliffs are relatively inaccessible to humans and livestock, and thus represent idealsites for birds to nest. In a study of cliff bird communities at Joshua Tree NationalPark in California, the nesting and flying behavior of cliff-dwelling birds wasrecorded by researchers. One variable of interest was the distribution of flyingdistances from a nest to a cliff faces popularly used for rock climbing. Flyingdistances from cliffs rarely used for rock climbing tend to be uniformly distributed inan interval from 0 to 50 meters. The researchers were interested to see if cliffclimbing might affect the flying distance behavior. The table below presents asummary of the observations of distances from 90 randomly selected nests to thenearest cliff used for rock climbing. a) If the flying distances from cliffs used for rock climbing are also uniformlydistributed, the expected numbers of observations for these distance categories isthe same for each category. What is this expected value?
b) For these data, . Is this sufficient evidence at the 0.05 level toconclude that the distribution of distance categories is not uniform?
Provideappropriate statistical evidence for your conclusion.c) Based on the data and your results in part (b), write a few sentences describingyour inferences about the distribution of distances from nests to cliffs used forclimbing.

Question

Cliffs are relatively inaccessible to humans and livestock, and thus represent idealsites for birds to nest. In a study of cliff bird communities at Joshua Tree NationalPark in California, the nesting and flying behavior of cliff-dwelling birds wasrecorded by researchers. One variable of interest was the distribution of flyingdistances from a nest to a cliff faces popularly used for rock climbing. Flyingdistances from cliffs rarely used for rock climbing tend to be uniformly distributed inan interval from 0 to 50 meters. The researchers were interested to see if cliffclimbing might affect the flying distance behavior. The table below presents asummary of the observations of distances from 90 randomly selected nests to thenearest cliff used for rock climbing.  a) If the flying distances from cliffs used for rock climbing are also uniformlydistributed, the expected numbers of observations for these distance categories isthe same for each category. What is this expected value?
b) For these data,  . Is this sufficient evidence at the 0.05 level toconclude that the distribution of distance categories is not uniform?
 Provideappropriate statistical evidence for your conclusion.c) Based on the data and your results in part (b), write a few sentences describingyour inferences about the distribution of distances from nests to cliffs used forclimbing.

Quizplus · Accepted Answer

The Answer of Cliffs are relatively inaccessible to humans and livestock, and thus represent idealsites for birds to nest. In a study of cliff bird communities at Joshua Tree NationalPark in California, the nesting and flying behavior of cliff-dwelling birds wasrecorded by researchers. One variable of interest was the distribution of flyingdistances from a nest to a cliff faces popularly used for rock climbing. Flyingdistances from cliffs rarely used for rock climbing tend to be uniformly distributed inan interval from 0 to 50 meters. The researchers were interested to see if cliffclimbing might affect the flying distance behavior. The table below presents asummary of the observations of distances from 90 randomly selected nests to thenearest cliff used for rock climbing.  a) If the flying distances from cliffs used for rock climbing are also uniformlydistributed, the expected numbers of observations for these distance categories isthe same for each category. What is this expected value?
b) For these data,  . Is this sufficient evidence at the 0.05 level toconclude that the distribution of distance categories is not uniform?
 Provideappropriate statistical evidence for your conclusion.c) Based on the data and your results in part (b), write a few sentences describingyour inferences about the distribution of distances from nests to cliffs used forclimbing.

Cliffs Are Relatively Inaccessible to Humans and Livestock, and Thus