Final answer:
The medical word that means the process of expelling sputum out of the chest is called expectoration and is written using the word parts 'ex-' meaning out of or away from, and 'pector' meaning chest.
Step-by-step explanation:
The medical word that means the process of expelling sputum out of the chest is called expectoration. It is written using the word parts 'ex-' meaning out of or away from, and 'pector' meaning chest. So, when these word parts are combined, they form the word 'expectoration', which specifically refers to the act of expelling sputum from the chest.