Question
In: Statistics and Probability
Question 4: (In this problem first find the probability by using SPSS and copy the output...
Question 4: (In this problem first find the probability by using SPSS and copy the output and then calculate the number of trees manually by using the probabilities.)
A certain variety of pine tree has a mean trunk diameter of μ= 150 cm, and a standard deviation of σ= 30 cm which is normally distributed. A certain section of a forest has 500 of these trees. Find Approximately
1. how many of these trees have a diameter smaller than 120
2. how many of these trees have a diameter greater than 160
3. how many of these trees have a diameter between 130 and 160.
4. how many of these trees have a diameter between 120 and 140.
Solutions
Expert Solution
The following information about the mean and standard deviation has been provided:
We need to compute 
. The corresponding z-value needed to be computed:
Therefore,
We need to compute 
The corresponding z-value needed to be computed is:
Therefore, we get that
We need to compute 
. The corresponding z-values needed to be computed are:
Therefore, the following is obtained:
We need to compute 
. The corresponding z-values needed to be computed are:
Therefore, the following is obtained:
orchestra answered 1 year agoRelated Solutions
(In this problem first find the probability by using SPSS and then calculate the number of...
(In this problem first find the probability by using SPSS and
then calculate the number of trees manually by using the
probabilities.)
A certain variety of pine tree has a mean trunk diameter of
μ=150 cm, and a standard deviation of σ=30 cm which is normally
distributed. A certain section of a forest has 500 of these
trees.
Find Approximately
1. how many of these trees have a diameter smaller than 120
2. how many of these trees have a...
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??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Copy to Clipboard
+
??
To
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B
C
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X
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Y
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