Answer:
The score separating the bottom 47% from the top 53% is 112.8
Step-by-step explanation:
Let <em>X</em> denote the random variable whose values are normal with a mean of 114.5 and a standard deviation of 23.
Compute the 47th percentile as follows:
The corresponding <em>z</em>-value is,
<em>z</em> = -0.075
*Use the <em>z</em>-table.
Compute the value of <em>x</em> as follows:
Thus, the score separating the bottom 47% from the top 53% is 112.8