The agos (in years) of 10 men and thoir systolic blood pressures (in millimeters of mercury) are shown in the uitachud data table with sample carrelation coofficient 0f 0.915. Remove tho data entry for the man who is 51 ycars ald and has systolic blood pressure of 199 millimeters of mercury from Ihe dala set and find the new corrolation coefficient Describe how Ihis alfects tho correlalion coofficlent i Use technology:0 Click Ihe Icon I0 view Ihe data sel;The now correlalion coefficlant (Round l
The agos (in years) of 10 men and thoir systolic blood pressures (in millimeters of mercury) are shown in the uitachud data table with sample carrelation coofficient 0f 0.915. Remove tho data entry for the man who is 51 ycars ald and has systolic blood pressure of 199 millimeters of mercury from Ihe dala set and find the new corrolation coefficient Describe how Ihis alfects tho correlalion coofficlent i Use technology: 0 Click Ihe Icon I0 view Ihe data sel; The now correlalion coefficlant (Round lo three docima places as needed ) going from 0.915 t0 Data Table Age Systolic blood pressure 108 121 141 133 199 183 198 130 177 118 Print Done nter your answer in the answer box
Intro Stats / AP Statistics
A sphygmomanometer is a device used to measure blood pressure, typically consisting of an inflatable cuff and a manometer used to measure air pressure in the cuff. In a mercury sphyg-momanometer, blood pressure is related to the difference in heights between two columns of mercury.
The mercury sphygmomanometer shown in Figure P9.15 contains air at the cuff pressure $P .$ The difference in mercury heights between the left tube and the right tube is $h=$ $115 \mathrm{mm} \mathrm{Hg}=0.115 \mathrm{m},$ a normal systolic reading. What is the gauge systolic blood pressure $P_{\text { gayge }}$ in pascals? The density of mercury is $\rho=13.6 \times 10^{3} \mathrm{kg} / \mathrm{m}^{3}$ and the ambient pressure is $P_{0}=1.01 \times 10^{5} \mathrm{Pa} .$
We have up head of the male giraffe, H one equals to 6.0 m above the ground. And heard of the giraffe adds to it is equal to 2.0 m above the ground. And we have to calculate the minimum systolic pressure in mm. Hg. Required to required to require at the heart to drive the blood to the head. So we have to calculate the edge of the HcG. Okay. Height of the mercury column. Okay. And we have density of the giraffe blood. So density of the blood. It is equal to one point double zero grand per centimeter cube and density of the mercury. Hg. It is equal to 13.6 g per centimeter cube. So now we can write that pressure P. It is equals to Rome or Player Beijing Player B. H. Okay so the pressure of the blood ruby. It will be equals two density of molecular biology Molecular by hb and density of the pressure of the mercury pressure. Of the mercury. It will be equals two density of the mercury. Molecular biology molecular by height of the mercury column. Okay, so from here we can write that height of the mercury. It will be equals two density of the blood multiplied by height of the blood to be pumped and density of the mercury. So we can substitute values so density of the blood. It is one point double zero grand per centimeter cube, and the height of the blood to be pumped. It will be excellent minuses too. So this comes out to be 6.0 minus 2.0 m, thereby density of the blood, which is 13.6 grand per centimeter cube. So from here we get height Edge of Mercury column, it is equal to 2 94.1 mm. Okay, so uh after rounding off into two significant figures, so we can write that height, uh, the minimum systolic pressure h h G comes out to be 2 90. Okay, so this is the answer for this question, Okay.
In this exercise that we refer back to exercise 21 where we were asked to find the correlation coefficient for age and blood pressure of the sample that's given here. And you can see from My excel sheet here that I used this correlation formula to find the correlation of .908. And for this exercise we're asked to remove The individual who was 49 years old And had a blood pressure of 199. That person on the scatter plot is right here. So you can see the scatter is fairly linear, except that this person is a bit of an outlier because they are above the linear pattern. So we would expect that if we remove this person that the correlation coefficient, We'll get even closer to one. So if we do that, We see that in fact the correlation coefficient goes up 2.969. So the effect of moving this, removing this person from our sample resulted in the correlation coefficient going from .908, 2.969.
Okay, So for this one, it says, according to the model, for every increase of one year in a JJ, by how many milliliters of millimetres of mercury will the normal systolic blood pressure for an adult male increase? Well, if you really think about it saying for the increase in one year, what's the increase in the Miller leaders of Mercury? Well, that's basically just a slope, because that's just a rate. It's a raid, which means it's a slope so we can take this equation and try to put it into Why is he quits MX plus B form? Because then we know that if we find the M, that's going to be your sloped. So let's go out and try that. So we know that if we have P is equal to X close to twenty over to well, instead of having this isthe one combine fraction, we could separate that into two, making an ex over tube post to twenty over too well, that too twenty over to just simplifies down to one ten. So then we have one ten plus X over two, which is the same thing as one half x. So then, in this format. Well, that one looks a lot more close to that one. So then, clearly from here the number that's a touch their excess R M, which is one half so we know that one half is going to be our answer.
Systemic blood pressure is expresses the ratio of systolic pressure to diastolic pressure. So both pressures are measured at the level of the heart and are expressed in millimeters of mercury. Although the units are not usually written normal systemic Blood pressure is 120 over 80. What are the maximum and minimum forces that the blood exerts against each square centimeter of the hard for a person with normal blood pressure. In part b, blood pressure is normally measured on the upper arm, the same height as the heart. due to therapy for an injury. A patient's upper arm is extended 30 cm above their heart in that position. What would be their systemic blood pressure reading expressed in the standard way if they have normal blood pressure and then they tell us the density of blood is 1060 km/m cubed. Okay, so normal pressure, atmospheric pressure Brennan is 760 millimeters of mercury, Which is a 101.3 times 10 to the three newtons per meter squared. So this is something that can be looked up. So diastolic pressure is 80 of mercury, so 80 millimeters Times 101.310 to the three newton's over meters squared Over 716 mm. So this is our unit measurement. So the diastolic pressure is at 1.07, It's into the 4th. Newtons per meter squared. And the systolic pressure peace best Is 120 times this unit. So 1.6 10 to the force. Newton per meter squared. And we also know the area is one square centimeter Which is 10 to the negative force meters squared. Okay, so knowing all of this, we can start with the minimum force. So is the diastolic pressure times the area, Which is 1.07 newtons. The maximum force is systolic times the area Which is 1.6 newtons. Well. Okay, let me just repeat that. So The maximum force is this stolid pressure times the area which is 1.6 newtons and Or part C. We know that H. is 30 cm above the heart. So the systolic pressure for part C. P. Primes of S. Is 120 minus H. Roe Oguro is the density of blood. So solving We no H. is 30 cm. We know the density. We know G as a constant. So this gives us 96.6 mm of Mercury and same thing for diastolic. This gives us It's AT -H. P. G., which is 56.6 millimeters.