Answer:
The lowest 5% of data ends at 57.73.
Step-by-step explanation:
Let the random variable <em>X</em> follow a Normal distribution with mean μ = 80.6 and standard deviation σ = 13.9.
The lowest 5% of the distribution can be expressed in terms of probability as follows:
Compute the value of <em>x</em> as follows:
The <em>z</em> score such that P (Z < z) = 0.05 is <em>z</em> = -1.645.
**Use the <em>z-</em>table for the for the <em>z</em>-score.
The value of <em>x</em> is:
Thus, the lowest 5% of data ends at 57.73.
