Aortic stenosis refers to a narrowing of the aortic valve in the heart. The paper " Correlation Analysis of Stenotic Aortic Valve Flow Patterns Using Phase Contrast MRI" gave the following data on aortic root diameter and gender for a sample of patients having various degrees of aortic stenosis:
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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.
Sri K.
Preliminary data analyses indicate that you can reasonably apply the $t$ -interval procedure (Procedure 8.2 on page 346 ). n the paper "A Randomized Trial of Intensive Lipid-Lowering Therapy in Calcific Aortic Stenosis" (New England Journal of Medicine, Vol. 352, No. 23, pp. $2389-2397$ ), S. Cowell et al. reported the results of a doubleblind, placebo controlled trial designed to determine whether intensive lipid-lowering therapy would halt the progression of calcific aortic stenosis or induce its regression. The experiment group, which consisted of 77 patients with calcific aortic stenosis, received $80 \mathrm{mg}$ of atorvastatin daily. The change in their aorticjet velocity over the period of study (one of the measures used in evaluating the results) had a mean increase of 0.199 meters per second per year with a standard deviation of 0.210 meters per second per year. a. Obtain and interpret a $95 \%$ confidence interval for the mean change in aortic-jet velocity of all such patients who receive $80 \mathrm{mg}$ of atorvastatin daily. b. Can you conclude that, on average, there is an increase in aortic-jet velocity for such patients? Explain your reasoning.
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Cardiology The aortic pressure-diameter relation in a particular patient who underwent cardiac catheterization can be modeled by the polynomial$D (p)=0.000002 p^{3}-0.0008 p^{2}+0.1141 p+16.683$ $55 \leq p \leq 130$ where $D(p)$ is the aortic diameter (in millimeters) and $p$ is the aortic pressure (in $\mathrm{mm}$ Hg). Determine where this function is increasing and where it is decreasing within the interval given above, Source: Circulation.
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