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Consider a scenario where you have two samples. Sample 1 contains 30 observations, has the sample average value of 37 and the sample standard deviation

Consider a scenario where you have two samples. Sample 1 contains 30 observations, has the sample average value of 37 and the sample standard deviation of 2.5. Sample 2 contains 20 observations, has the sample average of 39 and the sample standard deviation of 2.0. Based on this information, please conduct a 90% significance test for the hypothesis that the population mean 2 exceeds the population mean 1 by exactly 3. Please keep in mind that we dont know the population standard deviations but can assume that they are equal.

The test fails to reject the null that

The test rejects the null that

None of the above

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