Question

Becky Sharp is trying to create an estimate for the amount of time a carriage ride from Brighton to the city of London takes. She asks her friends and acquaintances to record the time spent traveling if they make the trip during the month of June. Out of the 85 trips, She finds a mean travel time of 660 minutes, with a standard deviation of 80 minutes.

a. Are there any issues with creating a confidence interval if our population is all carriage rides from Brighton to London? Explain briefly.

Answer 1

Here, our population is all carriage rides from Brighton to London, and we are interested in the estimate of time taken for travel. Hence, based on the sample information provided for 85 trips, we can easily find an estimate of the population mean time of travel by using our sample mean travel time. The population variance is not known and therefore we use its estimate as the sample variance.