2. In a 2009-2016 study, the National Health and Nutrition Examination Survey (NHANES) reported that the mean total body iron level in US pregnant women was 3.86 mg/kg. In a random sample of -51 present-day US pregnant women from a large medical data base, the mean total body iron level was 4.12 mg/kg with a standard deviation of 8.21 mg

(a) Construct a 98% confidence interval for the true mean total body iron level in present-day US pregnant women.

(b) Use the confidence interval you constructed in (a) to comment on whether the true mean total body iron level in present-day US pregnant women is different than reported in the 2009-2016 NHANES study. Explain your reasoning clearly.