At the beginning of a study on the effect of calcium in the diet on blood pressure, researchers measured the seated systolic blood pressure of 68 healthy males. The paper reporting the study gives and x=114.9 and s=9.3. Calculate the right (upper) boundary of a 90% confidence interval for the true mean seated systolic blood pressure of healthy males. Give your answer as a decimal rounded to 2 places after the decimal.
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9 = 0.1. This means the confidence coefficient is the t-score for alpha/2 = 0.05 with 67 degrees of freedom, which is approximately 1.668. Show more…
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At the beginning of a study on the effect of calcium in the diet on blood pressure, researchers measured the seated systolic blood pressure of 68 healthy males. The paper reporting the study gives and x=114.9 and s=9.3. Using your answers from questions 5 and 6, interpret a 90% confidence interval for the true mean seated systolic blood pressure of healthy males. Give your answer as a decimal rounded to 2 places after the decimal.
David N.
In a randomized comparative experiment on the effect of dietary calcium on blood pressure, researchers divided 54 healthy white males at random into two groups. One group received calcium and the other received a placebo. The paper reporting the study gives a sample mean of 114.9 and a sample standard deviation of 9.3 for the systolic blood pressure of the 25 members of the placebo group. Based on this information, and assuming a simple random sample/normality, construct a 99% confidence interval for the mean blood pressure in the population from which the subjects were recruited. (8 points)
Sri K.
Blood pressure is a way of measuring the amount of force exerted on the walls of blood vessels. It is measured using two numbers: systolic (as the heart beats) blood pressure and diastolic (as the heart rests) blood pressure. Blood pressures vary substantially from person to person, but a typical blood pressure is $120 / 80,$ which means the systolic blood pressure is $120 \mathrm{mm} \mathrm{Hg}$ and the diastolic blood pressure is $80 \mathrm{mm}$ Hg. Assuming that a person's heart beats 70 times per minute, the blood pressure $P$ of an individual after $t$ seconds can be modeled by the function $$P(t)=100+20 \sin \left(\frac{7 \pi}{3} t\right)$$ (a) In the interval $[0,1]$, determine the times at which the blood pressure is $100 \mathrm{mmHg}$. (b) In the interval $[0,1],$ determine the times at which the blood pressure is $120 \mathrm{mmHg}$. (c) In the interval $[0,1],$ determine the times at which the blood pressure is between 100 and $105 \mathrm{mmHg}$.
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