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3. (10 pts) We sample 8 times from a normal distribution with unknown mean, M1, and unknown variance of. We obtain a sample mean of 44.6 and a sample variance of 12. We then sample 7 times from another normal distribution with unknown mean, /2 and unknown variance o?. From this sample, we get a sample mean of 40 and a sample variance of 8. Provide a 90% confidence interval for