SOLUTION: Evaluation: the heights of 200 plants in a garden follow a normal distribution with a mean of 72.3 cm with a SD of 8.9 cm. 1. about how many plants whose heights are between 82

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Question 1201803: Evaluation:
the heights of 200 plants in a garden follow a normal distribution with a mean of 72.3 cm
with a SD of 8.9 cm.
1. about how many plants whose heights are between 82 and 90 cm?

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Evaluation:
the heights of 200 plants in a garden follow a normal distribution with a mean of 72.3 cm
with a SD of 8.9 cm.
1. about how many plants whose heights are between 82 and 90 cm?
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You can use your regular calculator TI-84, standard function normalcdf
(normal cumulative distribution function). It gives the area under the normal curve between 
the assigned scores, showing you the desired part of 200 plants

                  z1  z2  mean  SD    <<<---===  formatting pattern
    P = normalcdf(82, 90, 72.3, 8.9) = 0.1145.


So, approximately 0.1145 of 200 plants are in this range, or  0.1145*200, which is about 23 plants.



Alternatively, you can use this online free of charge calculator

https://onlinestatbook.com/2/calculators/normal_dist.html

Solved and explained.