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

An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of 630 days and a variance of 15129. BIG Corporation claims that the variance of its electric bulbs is less than 15129. Suppose that we want to carry out a hypothesis test to see if BIG Corporation's claim is correct. State the null hypothesis and the alternative hypothesis that we would use for this test.

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