In: Statistics and Probability
Here are the population parameters of the bears: ?=207.6 ??? ?=96.6 ???
a) Using this data,
find the percentage
of bears that weigh
between 180 and 220
pounds.
b) Find the weight
of a bear for
the 90th percentile.
Explain what
this means.
c) Is the weight of
the largest bear a
significant weight?
Provide evidence.
Answer:
Given that
The population parameters of the bears: ?=207.6 ??? ?=96.6 ???
a) Using this data, find the percentage of bears that weigh between 180 and 220 pounds.
b) Find the weight
of a bear for
the 90th percentile. Explain
what this means.
p-value for the bottom 90th percentile = 0.90
z-score for the p-vlue = 1.282
By applying normal distribution
c) Is the weight of the largest bear a significant weight? Provide evidence.
Yes,the weight of the largest bear is significant weight
p-value for the largest 99th percetile (Largest bear)= 0.99
z-score for the p-value =2.326
The value 2.326 is significanty high,since it is greater than 2