Question 1193055: In a mango farm of 250 trees, the mean harvest is 96.5 kilos of fruit per tree with a standard deviation of 8.4 kilos. Assuming that the harvests per tree are normally distributed, how many trees yielded a harvest below 100 kilos?
Answer by ikleyn(52879)   (Show Source):
You can put this solution on YOUR website! .
In a mango farm of 250 trees, the mean harvest is 96.5 kilos of fruit per tree with a standard deviation of 8.4 kilos.
Assuming that the harvests per tree are normally distributed, how many trees yielded a harvest below 100 kilos?
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The normal distribution curve is a bell shaped curve.
This question is to determine the area under the normal distribution curve
below the given score.
This area is the probability, or a percentage of those trees that yielded a harvest below 100 kilos.
As soon as you find this percentage, multiply the number of 250 by it to get the answer.
The area can be find in different ways:
- manually, or
- using online calculators, or
- using your pocket calculator.
MANUALLY
To do the job manually, use this Table representing AREA to the LEFT of the Z-score
https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf
On how to do it, see this Internet text source
http://statisticshelper.com/how-to-use-the-z-table
USING ONLINE CALCULATOR
To do the job using an online (free of charge) calculator, go to this web-site
https://onlinestatbook.com/2/calculators/normal_dist.html
Input the given parameters of each question into an appropriate window of the calculator and get the answers
to your questions.
The calculator has perfect description and design, as well as clear visual interface, which prevents you of making errors.
So EVERY person, even beginner, may work with it on his or her own, even having minimum knowledge on the subject.
USING YOUR POCKET CALCULATOR
On how to use it, see a text description in THIS Internet source / site
https://mathbits.com/MathBits/TISection/Statistics2/normaldistribution.htm
Or see these Youtube video-lessons
https://www.youtube.com/watch?v=bVdQ7OzGvU0 (for Casio fx-991 MS)
https://www.youtube.com/watch?v=yYpMkgB20C4 (for TI-83 or TI-84 calculators)
I recommend you to play with the online calculator first.
If you are unfamiliar with the subject, playing with the online calculator will help you a lot !
After learning it, you will be able to solve this problem (and thousand other similar and different problems) ON YOUR OWN,
without asking for help from outside.
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