For an environmental study, you need to collect temperature data for a year in a North American desert, where the temperature ranges from \(255 \mathrm{~K}\) in winter to \(320 \mathrm{~K}\) in summer. You have a single thermal sensor that can be calibrated in degrees Celsius or degrees Fahrenheit, but the readout is fixed to one decimal place.

(a) Which scale, Fahrenheit or Celsius, will give you greater precision?

(b) Your rescarch group doubts your choice, so you must provide numerical evidence to support it. What is the ratio of the number of readings possible on the scale you chose to the number of readings possible on the scale you didn't choose?