A death-row inmate claimed the jury foreman violated his fair-trial rights by reading out loud from Romans.
Jose Cerqueira had sued American Airlines for discrimination after being removed from a flight in 2003.
The justices will consider whether the Navy must heed restrictions on use of sonar off California.
The case, to be heard Monday, will determine if the smokers' suit alleging fraudulent ads about 'low tar' cigarettes can go to trial.
Its new term, which starts Monday, includes cases on detainees and TV language.
Five justices footnote their June opinion about a 'national consensus' against using the death penalty for child rapists.
A federal judge asks for statements from two guards accused of threatening a detainee.