The mean systolic blood pressure for people in the United Statesis reported to be 122 millimeters of mercury (mmHg) with a standarddeviation of 22.8 millimeters of mercury. The wellness departmentof a large corporation is investigating if the mean systolic bloodpressure is different from the national mean. A random sample of200 employees in a company were selected and found to have anaverage systolic blood pressure of 124.7 mmHg.
a) What is the probability a random employees blood pressure ishigher than 135 mmHg.
b) What is the probability that 200 randomly selected employeesmean blood pressure is greater than 127 mmHg.
c) The wellness department is providing a new health program totheir employees. Past studies have shown 9.9 % of their employeeshave high blood pressure. Find the probability that if the wellnessdepartment examines 200 randomly selected employees, less than 12employees will have high systolic blood pressure. Do you think thenew program significantly lowers the number of employees with ahigh blood pressure.
