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The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHg...

The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHg and a standard deviation of 12 mmHg. Fill in the blanks. About 95.44% of 18-year-old women have a systolic blood pressure that lies between ___ mmHg and ___ mmHg.

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Answer #1

Middle 95.44% means (100-95.44)% = 4.56% lies in right and left tail under standard normal curve.

2.28% lies in left tail and 2.28% in right tail.

z=-2.....................by using Z table or by using Excel command NORMSINV(0.0228)

z=+2............by using Z table or by using Excel command NORMSINV(1-0.0228)

Therefore, About 95.44% of 18-year-old women have a systolic
blood pressure that lies between 96 mmHg and 144 mmHg.

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