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Problem 1. The confidence interval for the population mean of the failure strength of a column is given by (233, 237) psi. (a) What was the sample mean of the failure strength? (b) Three confidence intervals were calculated from the same sample data, with confidence levels 90%, 95%, and 97.5%. The intervals are (233, 237), (231, 239), and (234, 236). Which interval corresponds with each confidence level? Give a reason for your