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Steps in Hypothesis Testing
9. Hypothesis Testing for One Sample / Steps in Hypothesis Testing / Problem 3
Problem 3

A quality control manager claims that the variance in the lifespans of a certain type of lightbulb is exactly 3636 hours\text{hours}. To test this claim, a random sample of 1818 bulbs is selected, and the sample variance is found to be 4242 hours2\text{hours}^2. At the α=0.05 α=0.05 significance level, test the manager's claim. Assume the lifespans are normally distributed.