Question

The U.S. Department of Transportation reported recently that all comμters in the New York City area average 120 minutes on the road traveling to and from work each workday. Assume that the standard deviation for the amount of time all comμters in the New York City area travel to and from work each workday equals 30 minutes.

a. ( μ = 120 ), ( Σ = 30 )
b. ( μ = 150 ), ( Σ = 30 )
c. ( μ = 120 ), ( Σ = 60 )
d. ( μ = 90 ), ( Σ = 30 )

Answer 1

Option a. ( μ = 120 ), ( Σ = 30 ) matches the Department of Transportation's report statistically, with the correct mean (μ) and standard deviation (Σ) for the commuting time in the New York City area.

Step-by-step explanation:

The Department of Transportation's report suggests that the average commuting time in the New York City area is 120 minutes with a standard deviation of 30 minutes. Based on the given options:

• a. ( μ = 120 ), ( Σ = 30 ) matches the given statistics.
• b. ( μ = 150 ), ( Σ = 30 ) suggests a higher mean commuting time but the same standard deviation.
• c. ( μ = 120 ), ( Σ = 60 ) has the correct mean but a higher standard deviation, indicating more variability in commute times.
• d. ( μ = 90 ), ( Σ = 30 ) indicates a lower mean commuting time and the same standard deviation.

The correct answer reflecting the Department of Transportation's report is option a. (μ = 120 ), ( Σ = 30 ).