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In: Statistics and Probability

Loretta, who turns eighty this year, has just learned about blood pressure problems in the elderly...

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 130.4 mmHg, with a standard deviation of 6.0 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 ?56%75%84%89% of the measurements lie between 118.4 mmHg and 142.4. (b) According to Chebyshev's theorem, at least 36% of the measurements lie between mmHg and mmHg . (Round your answer to 1 decimal place.) (c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 99.7% of the measurements lie between mmHg and mmHg . (d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ?68%75%95%99.7% of the measurements lie between 118.4 mmHg and 142.4.

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