Fill in the blanks by standardizing the normally distributed variable.
-Dave drives to work each morning at about the same time. His commute time is normally distributed with a mean of 35 minutes and a standard deviation of 5 minutes. The percentage of
Time that his commute time is less than 44 minutes is equal to the area under the standard normal
Curve that lies to the ___ of __. right,
A)1.1
B)right, 1.8
C)left, 1.8
D)left, -1.8

Question

Fill in the blanks by standardizing the normally distributed variable.
-Dave drives to work each morning at about the same time. His commute time is normally distributed with a mean of 35 minutes and a standard deviation of 5 minutes. The percentage of
Time that his commute time is less than 44 minutes is equal to the area under the standard normal
Curve that lies to the ___ of __. right, 
A)1.1
B)right, 1.8
C)left, 1.8
D)left, -1.8

Quizplus · Accepted Answer

To find the standardized score (z-score) for Dave's commute time of 44 minutes, we use the formula $z = \frac{(X - \mu)}{\sigma}$, where $X$ is the commute time, $\mu$ is the mean, and $\sigma$ is the standard deviation. Plugging in the values gives us $z = \frac{(44 - 35)}{5} = 1.8$. Since we are looking for the time less than 44 minutes, this corresponds to the area to the left of $z = 1.8$ on the standard normal curve.

Fill in the Blanks by Standardizing the Normally Distributed Variable