Question

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Suppose there is a popular mall that is regularly visited by members of a small gated community.  You decided to keep track of the amount of time it takes them to get from their community to the mall.  The data below is a list of 16 randomly chosen times measured in minutes.  Assume that a statistical analysis reveals that the driving time between the community and the mall is likely to be normally distributed.

Sample:      12.5, 12.1, 12.7, 10.1, 10.4, 11.2, 12.5, 12.1  
                    13.0, 11.4, 11.7, 12.6, 14.2, 13.4, 12.4, 11.5

1. Verify the requirements to create a confidence Interval for the mean time it takes to get from the community to the mall.

2. Create a 90% Confidence Interval for the mean time it takes to get from the community to the mall and interpret that interval.

Answer 1

Interpretation:

we are 90% confident that the true mean time it takes to get from community to the mall lies between 11.7 and 12.6