An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.
If MN is angle bisector, then
m∠JMN=m∠NMK.
The two smaller angles are adjacent angles, then
m∠JMK=m∠JMN+m∠NMK=2m∠JMN.
Divide this equality by 2:
The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
<h3>How to find the z score (z statistic) for the sample mean?</h3>If we're given that:
Then, we get:
If the sample standard deviation is not given, then we can estimate it(in some cases) by:
where population standard deviation
For this case, we're specified that:
Thus, the value of the z-statistic is evaluated as:
Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
Learn more about z statistic here: