For the following calculations assume that individual systolic blood pressures (

For the following calculations assume that individual systolic blood pressures (sys bp) of the US adult population are normally distributed with the mean m = 110 mmHg and standard deviation s = 22 mmHg find:a) Under the definition of high systolic blood pressure using the cutoff value of 140 sys bp find the percentage of the US adult population that would have high elevated systolic blood pressure.b) Under the pre-hypertensive definition of elevated high systolic blood pressure using the new cutoff value of 120 sys bp find the percentage of the US adult population that would have pre-hypertensive high systolic blood pressure (SPB).c) What percentage of the US adult population has SBPs between 120 sys bp and 140 sys bp?d) Assume you wanted to research low systolic blood pressure (sys bp). Since you do not know the lower cut off value for low systolic blood pressure you decide to look at the people with lowest 2% of the population. What cutoff value of Sys BP would split off or demarcate the lower 2% of the population?e) Assume you conduct a health fair and you randomly sample 90 people and measure their systolic blood pressures.You find that the resulting sample mean is 115. The standard deviation of the sample is 20. (s = 20 mmHg). Calculate a 95% confidence interval from this sample..f) Does this 95% confidence interval you calculated contain the true national mean or what can you say about the confidence interval you just calculated?