Question

1. commuter times the mean of the times it takes a commuter to get to work in baltimore is 29.7 minutes. if the standard deviation is 6 minutes, within what limits would you expect approximately 68% of the times to fall? assume the distribution is approximately bell - shaped.

Explanation:

Step1: Recall the empirical rule

For a bell - shaped (normal) distribution, approximately 68% of the data lies within 1 standard deviation of the mean.

Step2: Calculate the lower limit

The lower limit is $\mu-\sigma$. Given $\mu = 29.7$ minutes and $\sigma=6$ minutes, the lower limit is $29.7 - 6=23.7$ minutes.

Step3: Calculate the upper limit

The upper limit is $\mu+\sigma$. So, the upper limit is $29.7+6 = 35.7$ minutes.

Answer:

Approximately 68% of the commuter times would fall within the limits of 23.7 minutes and 35.7 minutes.