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MATH 227: FINAL EXAM - Part I Name: Summer 2021 Professor Oganyan k. Instructions: Show all work. All fractions must completely simplified. Box your final

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MATH 227: FINAL EXAM - Part I Name: Summer 2021 Professor Oganyan k. Instructions: Show all work. All fractions must completely simplified. Box your final answers. Problem # 1: The average weight of 35 randomly selected compact automobiles was 2680 pounds. The sample standard deviation was 400 pounds. Find the following: a) The point estimate and the standard error of the mean. ( 2 points) b) The 98% confidence interval of the population mean. ( 2 points) c) The 98% confidence interval of the population mean if a sample of 61 automobiles is used instead of a sample of 35. ( 2 points)

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