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Heights of certain plants at a nursery are normally distributed with a mean of 60.7 centimeters and a standard deviation of 8.3 centimeters. If their z-scores are greater than 2.75, the plants are displayed in the main lobby.

To the nearest centimeter, what is the minimum required height for this type of plant to be displayed in the main lobby?


71 cm


72 cm


83 cm


84 cm

 Feb 17, 2020
 #1
avatar+109740 
+1

Let  H  be the height we are  looking for....so we have....

 

[ H - 60.7 ] / 8.3  ≥  2.75     multiply both sides  by  8.3

 

H - 60.7 ≥  22.825     add 60.7   to both sides

 

H ≥  83.525 ≈     84 cm

 

 

 

cool cool cool

 Feb 17, 2020

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