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For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean...

For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1. If 23 women aged 18-24 are randomly selected, find the probability that their mean systolic blood pressure is between 119 and 122.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

mean = = 114.8

standard deviation = = 13.1

= / n = 13.1 / 23 = 2.7315

= P[(119 - 114.8) /2.7315 < ( - ) / < (122 - 114.8) / 2.7315)]

= P(1.54 < Z < 2.64)

= P(Z < 2.64) - P(Z < 1.54)

= 0.9959 - 0.9382

= 0.0577

Probability = 0.0577

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