Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Simple random samples of high-interest (8.7%) mortgages and low-interest (6.3%) mortgages were obtained. For the 50 high-interest mortgages, the borrowers had a mean credit score of 595.3 and a standard deviation of 12.8. For the 50 low-interest mortgages, the borrowers had a mean credit score of 761.1 and a standard deviation of 16.2. Use a 0.05 significance level to test the claim that the mean credit score of borrowers with high-interest mortgages is lower than the mean credit score of borrowers with low-interest mortgages. Does the credit rating score appear to affect mortgage payments? If so, how?
Conclusion: We can conclude that the mean credit score of borrowers with high-interest mortgages is lower than the mean credit score of borrowers with low-interest mortgages.
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