High School

A survey of 500 motorists in Miami calculated a standard deviation of 11 minutes for their commute times. The z-score for a commute time of an hour is 1. What is the mean commute time?

Answer :

Final Answer:

Based on the information provided, the calculated mean commute time for motorists in Miami is approximately 49 minutes.

Explanation:

Given the z-score of 1 for a commute time of an hour and the standard deviation of commute times as 11 minutes, we can use the formula for the z-score to find the mean commute time (μ):

μ=x−z×σ

Substituting x=60 minutes, z=1, and σ=11 minutes into the formula:

μ=60−1×11=49

Therefore, the mean commute time is estimated to be around 49 minutes for the surveyed motorists in Miami. This calculation assumes a normal distribution of commute times and provides insight into the central tendency of travel times for the surveyed group.

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