Question

suppose the commute times for employees of a large company follow a normal distribution. if the mean time is 24 minutes and the standard deviation is 5 minutes, 95% of the employees will have a travel time within which range? a. 19.25 minutes to 28.75 minutes b. 14 minutes to 34 minutes c. 19 minutes to 29 minutes d. 9 minutes to 39 minutes

Explanation:

Step1: Recall 68-95-99.7 rule

For normal distribution, 95% data is within $\mu \pm 2\sigma$.

Step2: Identify $\mu$ and $\sigma$

$\mu = 24$, $\sigma = 5$.

Step3: Calculate lower bound

$24 - 2\times5 = 14$.

Step4: Calculate upper bound

$24 + 2\times5 = 34$.

Answer:

B. 14 minutes to 34 minutes