Suppose systolic blood pressure of 17 year female is approximately distributed with a mean of 118mmHg and a standard deviation of 12mmhg ... A) what is the proportion of girls would you expect to have blood pressure between 112mmHg and 124mmHg ... B) if you were to select a sample of 16 girls and obtain systolic blood pressure, what proportion of such sample would you expect between 112 mmHg and 124mmHg

Question

Mathematics

Teddy

4 April, 11:17

Suppose systolic blood pressure of 17 year female is approximately distributed with a mean of 118mmHg and a standard deviation of 12mmhg ... A) what is the proportion of girls would you expect to have blood pressure between 112mmHg and 124mmHg ... B) if you were to select a sample of 16 girls and obtain systolic blood pressure, what proportion of such sample would you expect between 112 mmHg and 124mmHg

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Answers (1)

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Kaiden Carpenter · Answer 1

a) 0.383

b) 0.375

Step-by-step explanation:

a) Calculate each z-score.

z = (x - μ) / σ

z₁ = (112 - 118) / 12 = - 0.5

z₂ = (124 - 118) / 12 = 0.5

Use a calculator or z-score table to find the probability.

P (-0.5 < Z < 0.5) = 0.6915 - 0.3085 = 0.383

b) 0.383 * 16 ≈ 6. So the expected proportion would be 6/16 = 0.375.