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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