1 A distancemeasuring telescope makes inaccurate measurement

1. A distance-measuring telescope makes inaccurate measurements with standard deviation =107 kilometers. To deal with the inaccurracy we will take the average of many different measurements, and call the average our \"measurement.\"

a) How many measurements should we average so that, with 95% confidence, our \"measurement\" has a margin of error of at most 200,000 kilometers? (round up to the nearest integer)

b) How many measurements should we average so that, with 90% confidence, our \"measurement\" has a margin of error of 200,000 kilometers? (round up to the nearest integer)

Solution