Question

question 18 of 20
the average commute to work (one way) is 25 minutes according to the 2015 american community survey. if we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, what is the probability that a randomly selected commuter spends more than 30 minutes commuting one day?
in this problem, which of the following statements is true?
select the correct response:
the lower bound is -9e99.
the upper bound is 30.
the area of interest is less than 0.5.
the area of interest lies on the left side of the mean.
the lower bound is -9e-99.
my answer is not listed among the given choices.
the area of no interest to the problem solver is less than 0.5.
the area of interest is more than 0.5.

Explanation:

The mean commute time is 25 minutes, and we are looking for the probability of commute times greater than 30 minutes (right of the mean in a normal distribution). In a normal distribution, 50% of data lies above the mean and 50% below. Since 30 is above the mean, the area (probability) of interest (commute >30) will be less than 0.5.

Answer:

The area of interest is less than 0.5.