An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of660

days and a standard deviation of124

. BIG Corporation claims that the standard deviation of its electric bulbs is less than124

. Suppose that we want to carry out ahypothesis testto see if BIG Corporation's claim is correct. State thenull hypothesisH

0

and thealternative hypothesisH

1

that we would use for this test.