A laboratory tested 90 chicken eggs found that the average amount of cholesterol was 225.582 milligrams with a standard deviation of 12.738 milligrams. Construct a 95% confidence interval for the true mean cholesterol of all such eggs. Also find the margin of error. Round your answers to 3 decimal places. Group of answer choices (222.914,228.250), margin of error=1.334 (222.048,229.116), margin of error=3.534 (222.914,228.250), margin of error=2.668 (222.914,228.250), margin of error=5.336 (222.048,229.116), margin of error=1.767

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