SOLUTION: Following a brushfire, a forester takes core samples from the ten surviving Bigcone Douglas-fir trees in a test plot within the burn area, and a dendrochronologist determines the a

Question 560948: Following a brushfire, a forester takes core samples from the ten surviving Bigcone Douglas-fir trees in a test plot within the burn area, and a dendrochronologist determines the age of the source trees to be as follows (in years):
15 38 48 67 81 83 94 102 135 167
3. Calculate the sample mean and standard deviation for the age of Bigcone Douglas-fir trees based on the data above. If this accurately represents the population mean and standard deviation for the age of surviving Bigcone Douglas-fir trees in the burn area, what is the probability that a randomly selected surviving Bigcone Douglas-fir tree from the burn area will be 111 years old or less? Round to the nearest hundredth
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Following a brushfire, a forester takes core samples from the ten surviving Bigcone Douglas-fir trees in a test plot within the burn area, and a dendrochronologist determines the age of the source trees to be as follows (in years):
15 38 48 67 81 83 94 102 135 167
3. Calculate the sample mean and standard deviation for the age of Bigcone Douglas-fir trees based on the data above.
sample mean = 83 years
sample std = 45.19 years
----------------------------------
If this accurately represents the population mean and standard deviation for the age of surviving Bigcone Douglas-fir trees in the burn area, what is the probability that a randomly selected surviving Bigcone Douglas-fir tree from the burn area will be 111 years old or less? Round to the nearest hundredth
------
z(111) = (111-83)/45.19 = 0.6196
------
P(x <= 111) = P(z <= 0.6196) = 0.7322
=======================================
Cheers,
Stan H.
================
RELATED QUESTIONS
Please help me solve these problems. 1. Calculate the sample mean and standard... (answered by stanbon)

A forester plants 5 seedlings selected at random from a bag containing 5 Douglas-fir and... (answered by Fombitz)

There are 850 Douglas fir and ponderosa pine trees in a section of forest bought by Sawz... (answered by checkley71)

Can someone help me on this problem? I need to solve the following word problem and... (answered by venugopalramana)

Solve the following word problems. Be sure to show the equation you use for the... (answered by ptaylor)

Category : Business and Finance from text book Need to solve word problem and show the (answered by josmiceli)

There are a total of 500 Douglas fir and hemlock trees in a section of forest bought by... (answered by ankor@dixie-net.com)

THERE ARE 850 DOUGLAS FIR AND PONDERSOA PINE TREES IN A SECTION OF FOREST BOUGHT BY... (answered by checkley71)