Aortic stenosis refers to a narrowing of the aortic valve in the heart. An article gave the following data on aortic root diameter (cm) and gender for a sample of patients having various degrees of aortic stenosis.M:3.9 3.3 3.9 4.2 4.1 4.0 3.3 3.8 3.0 4.2 3.3 4.0 3.4F:4.0 2.4 3.0 2.8 4.5 4.5 2.9 2.9 3.0 2.8(a) Compare and contrast the diameter observations for the two genders. (Round your answers to two decimal places.)cm, median3.9cm, x = 2.95Aortic root diameters for males have mean 3.72corresponding values for females are x = 3.28universally) somewhat smalleris positively vcm, standard deviation 0.41cm, and fourth spread 0.15cm. Thecm, and f. =variability. The distribution for males is negatively vcm. Aortic root diameters are typically (though notskewed, while the distribution for femalescm, s = 0.76for females than for males, and females show moreskewed.(b) Calculate a 10% trimmed mean for each of the two samples. (For the male sample, the interpolation method mentioned in Section 1.3 must be used). (Round your answers to two decimal places.)10% trimmed mean for females4X cm10% trimmed mean for malescm

Given, Males Female 3.9 4 3.3 2.4 3.9 3 4.2 2.8 4.1 4.5 4 2.9 3.3 2.9 3.8 3 3 2.8 4.2 3.3 4 3.4 Given, For males: The mean is 3.72, median is 3.9 , standard deviation is 0.41. For females: The mean is 3.14, median is 2.9 , standard deviation is 0.66. The fourth spread is calculated as follows: The maximum value of females is 4.5. The maximum value of males is 4.2. Thus, the fourth spread for males is 4.2. Thus, the fourth spread for females is 4.5.b) 10% trimmed mean is calculated as follows: For males: The number of observation is 13. The 10% trimmed mean is 1, deleting 1 observation from both sides. The ascending order is given as follows: 3.3 3.3 3.3 3.4 3.8 3.9 3.9 4 4 4.1 4.2 Trimmed mean: x¯=3.3+3.3+3.3+3.4+3.8+3.9+3.9+4+4+4.1+4.211=41.211=3.75 Thus, the trimmed mean for male is 3.75. For females: The number of observation is 9. The 10% trimmed mean is 1, deleting 1 observation from both sides. The ascending order is given as follows: 2.8 2.8 2.9 2.9 3 3 4 Trimmed mean: x¯=2.8+2.8+2.9+2.9+3+3+47=21.47=3.06 Thus, the trimmed mean for female is 3.06.