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

Algebra.Com
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(52781)   (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~

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.



RELATED QUESTIONS

The heights of 200 plants in a garden follow a normal distribution with a mean of 72.3 cm (answered by Boreal)
The heights of children aged between 8 and 15 follow a normal distribution with mean of... (answered by ikleyn)
The heights of boys at a particular age follow a normal distribution with mean 150.3 cm... (answered by ewatrrr)
Heights of men on a baseball team have a​ bell-shaped distribution with a mean of... (answered by Boreal)
To whom may it concern, I have problem to do this question. The heights of three... (answered by stanbon)
Suppose the distribution of heights of a group of 300 children is normal with mean of 160 (answered by stanbon)
The distribution of cholesterol levels in teenage boys is approximately normal with the... (answered by Fombitz)
Assume that the population of heights of adult males has a normal distribution with a... (answered by Boreal)
Suppose that people's heights (in centimeters) are normally distributed, with a mean of... (answered by ewatrrr)