Step 1 :The given data represents the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. The data is as follows: 68.43, 79.44, 68.97, 84.95, 79.09, 85.46, 101.97, 99.13.
Step 2 :A point estimate for the population mean travel tax can be calculated by finding the mean of the given data. The mean is the sum of all the values divided by the number of values.
Step 3 :The sum of the given data is \(68.43 + 79.44 + 68.97 + 84.95 + 79.09 + 85.46 + 101.97 + 99.13\).
Step 4 :The number of values in the data is 8.
Step 5 :So, the mean of the data is \(\frac{68.43 + 79.44 + 68.97 + 84.95 + 79.09 + 85.46 + 101.97 + 99.13}{8}\).
Step 6 :After calculating the above expression, we find that the mean of the data is approximately 83.43.
Step 7 :Therefore, a point estimate for the population mean travel tax is \(\boxed{83.43}\).