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A carpet manufacturer is studying differences between two of its major outlet stores. The company has decided to revise and improve its operations and response time to customer needs and is particularly interested in the time it takes customers to receive carpeting that was ordered from the plant. A sample of 41 delivery times for the most popular type of carpet for store A revealed an average delivery time 34.3 days with a standard deviation of 2.4 days. A similar sample of 31 delivery times for store B revealed an average of 43.7 days with a standard deviation of 3.1 days. At the .05 level of significance, is there evidence of a difference in variability in the shipping time between the two outlets? What decision should the carpet manufacturer make? Please provide step by step solution.
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