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 3.2 3.9 4.2 4.1 4.0 3.2 3.8 2.9 4.2 3.2 4.0 3.3
F: 3.9 2.4 3.0 2.8 4.4 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.)
Aortic root diameters for males have mean cm, median cm, standard deviation cm, and fourth spread cm.
The corresponding values for females are x̄ = cm, x̃ = cm, s = cm, and fs = cm. Aortic root diameters are typically (though not universally) somewhat Select for females than for males, and females show Select variability. The distribution for males is Select skewed, while the distribution for females is Select skewed.
(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 females cm
10% trimmed mean for males cm
Compare to other measures of center.