Blood pressure is typically recorded as two numbers written as a ratio. The top number in the ratio is known as the systolic blood pressure and it measures the pressure in the arteries when the heart beats. The bottom number is called the diastolic blood pressure and it measure the pressure in the arteries between heartbeats. The first data set represents the systolic blood pressure of each of the 500 adults that were tested for the experiment. The median blood pressure of this group is 140.5 mm Hg. The mean blood pressure is 144.952 mm Hg, with a standard deviation of 27.9949483 mm Hg.

The second data set indicated whether or not the person being sample is a smoker. A ‘1’ means the person does smoke, while a ‘0’ means they do not smoke. Of the 500 people sampled, 234 were non-smokers and 266 were smokers.

Given the data presented, we are 95% confidant that a random Canadian individual would have blood pressure between 90.0829096 mm Hg and 199.8210904 mm Hg. We are also 70.8321023% confidant a random individual’s blood pressure would fall between 120 mm Hg and 180 mm Hg.

If groups of 10 individuals get their blood pressure, we are 99% confident their average blood pressure would be between 122.14875 mm Hg and 167.75525 mm Hg. We are also 99.7550308% confident that if groups of 10 get their blood pressure, the average blood pressure would be between 120 mm Hg and 180 mm Hg.

Overall the answers would not change on a measurable level if we determined the above to be a t-distribution since the sample size is so large.

The mean blood pressure for smokers is 150.0263158 mm Hg while for non-smokers have a mean blood pressure of 139.1837607 mm Hg.

The Difference between the mean of smokers and non-smokers is 10.8425551 mm Hg.

The Variance of smokers is 755.7238332 and the sample variance is 2.841067. Similarlly, the variance of non-smokers is 756.107718 and the sample variance is 3.2312296.

Assumming D = Sample average BP of smokers - Sample average BP of nonsmokers

The Variance of D was found to be 0.0128349. If smoking did not affect blood pressure, the expected value for D would be 0 mm Hg; ergo it is clear that smoking does affect blood pressure.

The probability of obtaining a random sample the showed such a big effect just by chance2.068550610^{-7}. given the results we believe smoking has a large effect on blood pressure.

A company developed a drug to lower blood pressure. after testing with a sample of 10 participants, they obtained the result with the blood pressure as follows:

106.6, 109, 121.6, 112, 128, 148.5, 163.7, 85.9, 105.1, 111.3

This sample has a mean of 119.17.

Phi = 144.952 mm Hg

Mu = 119.17 mm Hg

H0: Mu = Phi

H1: Mu < Phi

If H0 were true, the probability of getting these values would be 0.1793858%. In order to obtain the likelyhood of these values being presented without taking any blood pressure reduction drug, we compared it to a previouslly established data containing a known standard deviation.After reviewing the data presented, we have determined that the drug is effective at lowering blood pressure. If the we assume the drug in ineffective, we can be 99% confident their average blood pressure would be between 122.14875 mm Hg and 167.75525 mm Hg.