Final answer:
With the mean, standard deviation, and sample size, one could use a t-score and the t-interval procedure to obtain the interval.
Step-by-step explanation:
To find the 95% confidence interval for the average commute time of all commuters in a certain city area, we use the formula for a confidence interval when the population standard deviation is unknown and the sample size is small, which is the case for a t-interval procedure. First, we need the mean commute time of the sample (μ), the sample standard deviation (s), and the sample size (n). Unfortunately, the data for these parameters is not provided in the question. However, if we had them, the formula to calculate the confidence interval would be: μ ± (t*(s/√n)), where t* is the t-score from the t-distribution table that corresponds to the desired confidence level and degrees of freedom (n-1).
In the absence of specific sample data, a general guideline would be to collect the sample mean, standard deviation, and size. Then, you can use a t-score calculator or table to find the t-score for a 95% confidence level with n-1 degrees of freedom. Lastly, plug in these values into the confidence interval formula to find the interval that you are 95% confident contains the true average commute time for the entire population of commuters in that area.