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Question-01: An insurance company is comparing between the effectiveness of the traditional (physical payment) and the online premium payment system. The company has collected data

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Question-01: An insurance company is comparing between the effectiveness of the traditional (physical payment) and the online premium payment system. The company has collected data on daily payments in both systems for this purpose. A random sample of 15 days of payment through the traditional system resulted in a mean daily collection of TK 688543 with a standard deviation of TK 3263. On the other hand, random sample of 15 days of payment through the online system resulted in a mean daily collection of TK 706234 and a standard deviation of TK 2484. Can the company conclude, at a 0.05 significance level, that the online system is collecting more premiums than the traditional system? [Hint: Determine which is sample 1 and sample 2, and whether to use Z or t for the test]

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