Question

Loretta, who turns eighty this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure compares to those of her peers. Specifically, she is interested in her systolic blood pressure, which can be problematic among the elderly. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for women over seventy-five is 131.0 mmHg, with a standard deviation of 5.2 mmHg. Assume that the article reported correct information. Complete the following statements about the distribution of systolic blood pressure measurements for women over seventy-five.

(a) According to Chebyshev's theorem, at least 84% of the measurements lie between

mmHg and mmHg

. (Round your answer to 1 decimal place.)

(b) According to Chebyshev's theorem, at least ?56%75%84%89% of the measurements lie between 120.6 mmHg and 141.4 mmHg.

(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ?68%75%95%99.7% of the measurements lie between 120.6 mmHg and 141.4 mmHg.

(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 99.7% of the measurements lie between

mmHg and mmHg

Answer 1