SOLUTION: In the past, the value of houses a local realtor has sold is normally distributed with a mean of $256,000 with a standard deviation of $60,000. How much does a house have to sell f

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Question 1205491: In the past, the value of houses a local realtor has sold is normally distributed with a mean of $256,000 with a standard deviation of $60,000. How much does a house have to sell for so that the house is in the bottom 20% of lowest selling houses for the realtor?
Answer by ikleyn(52756)   (Show Source): You can put this solution on YOUR website!
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In the past, the value of houses a local realtor has sold is normally distributed with a mean of $256,000
with a standard deviation of $60,000. How much does a house have to sell for so that the house is
in the bottom 20% of lowest selling houses for the realtor?
~~~~~~~~~~~~~~~~~~~~~~~~

They want you find a raw score x such that the area under the specified normal curve on the left
of this x-score be 20%, or 0.2.


For it, you can use your regular hand calculator TI-83/84 and its standard function invNorm.


The format for this function is  x = invNorm(area, mean, SD).


So, you write  x = invNorm(0.2, 256000, 60000),

and you get the  ANSWER  x = 205503.


     Alternatively, you may use free of charge online calculator
     https://onlinestatbook.com/2/calculators/inverse_normal_dist.html


     This calculator has simple and intuitively clear interface,
     so even a beginner student can use it without any problems and 
     without any additional explanations.


     In opposite, this calculator itself is a perfect teacher,
     and it quickly will teach you how to make such calculations with no errors
     and with full understanding of the process.

Solved.



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