Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P16​, the 16th percentile. This is the bone density score separating the bottom 16% from the top 84%.       Question content area bottom Part 1 Which graph represents P16​? Choose the correct graph below.     A.             x P16         A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 16, which is to the left of the curve’s center and peak; the segment’s height is approximately 60 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded.   B.               x P16         A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 16, which is to the left of the curve’s center and peak; the segment’s height is approximately 60 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded.   C.             x P16         A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 16, which is to the right of the curve’s center and peak; the segment’s height is approximately 60 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded.   D.             x

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Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find
P16​,
the
16th
percentile. This is the bone density score separating the bottom
16%
from the top 84%.
 
 
 

Question content area bottom

Part 1
Which graph represents
P16​?
Choose the correct graph below.
 
 
A.
 
 
 
 
 
 
x
P16
 
  •  
  •  
  •  
A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 16, which is to the left of the curve’s center and peak; the segment’s height is approximately 60 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded.
 
B.
 
 
 
 
 
 
 
x
P16
 
  •  
  •  
  •  
A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 16, which is to the left of the curve’s center and peak; the segment’s height is approximately 60 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded.
 
C.
 
 
 
 
 
 
x
P16
 
  •  
  •  
  •  
A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 16, which is to the right of the curve’s center and peak; the segment’s height is approximately 60 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded.
 
D.
 
 
 
 
 
 
x
 
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