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The Left ventricular Mass Index (LVMI) is a measure of the enlargement of the left side of the heart and is expressed in the units (gm/ht(m)2.7). High values may predict subsequent cardiovascular disease in children as they get older. A study is performed to relate the level of LVMI blood pressure category in children and adolescents age 10-18. The bp level of children was categorized as either Normal (bpcat = 1 or bp percentile < 80% for a given age, gender, and height), Pre-Hypertensive (bpcat = 2 or bp percentile > 80% and bp percentile < 90%), or Hypertensive (bpcat = 3 or bp percentile 2 90%). A description of the variables in the data is given below. Variable Variable name on file Unit Code ID ID LVM" Ivmht27 9/m2.7 bp category bpcat 1 = normal, 2 = pre-hypertensive, 3 = hypertensive gender gender 1 = male, 2 = female age age yrs BMI BMI kg/m2 (a) What is the arithmetic mean of LVMI by blood pressure group? (Round your answers to four decimal places.) What is the arithmetic mean LVMI for children with a blood pressure category normal? X What is the arithmetic mean LVMI for children in the blood pressure category pre-hypertensive? What is the arithmetic mean LVMI for children in the blood pressure category hypertensive? (b) What is the geometric mean of LVMI by blood pressure group? (Round your answers to four decimal places.) What is the geometric mean LVMI for children with a blood pressure category normal? What is the geometric mean LVMI for children in the blood pressure category pre-hypertensive? What is the geometric mean LVMI for children in the blood pressure category hypertensive?