A company produces two types of light bulbs, type A and type B, and wants to determine if there is a significant difference in the mean lifespan of the two types of bulbs. Data was collected from past customers who purchased type A bulbs, with a mean lifespan of 10,000 hours and a standard deviation of 500 hours. Data was also collected from past customers who purchased type B bulbs, with a mean lifespan of 9,500 hours and a standard deviation of 800 hours. Test whether there is any significance difference in the mean lifespan of the two types of bulbs at a significance level of 0.01.

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