An audio engineer is remastering a mono recording. They decide to double the sampling rate from 22 kHz22\text{ kHz}22 kHz to 44 kHz44\text{ kHz}44 kHz but decrease the sample resolution (bit depth) from 24 bits24\text{ bits}24 bits to 16 bits16\text{ bits}16 bits.
Which of the following correctly describes the combined effect of these changes on the file size of the recording and the number of unique amplitude levels that can be represented?
The file size increases by 33.3%33.3\%33.3%, while the number of unique amplitude levels is reduced by a factor of 256256256.
The file size increases by 33.3%33.3\%33.3%, while the number of unique amplitude levels is reduced by a factor of 1.51.51.5.
The file size decreases by 33.3%33.3\%33.3%, while the number of unique amplitude levels is reduced by 888.
The file size remains unchanged, while the number of unique amplitude levels is reduced by a factor of 256256256.