Question
Asked Jan 17, 2020
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In Exercises 6–10, assume that women have diastolic blood pressure measures that are normally distributed with a mean of 70.2 mm Hg and a standard deviation of 11.2 mm Hg (based on Data Set 1 “Body Data” in Appendix B). 

Diastolic Blood Pressure Find p90 , the 90th percentile for the diastolic blood pressure levels of women.

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Expert Answer

Step 1

The random variable x represents the diastolic blood pressure of women.

The 90th percentile for the diastolic blood pressure levels of women represents the area of 0.90 to the left of x.

Use Table A-2: Standard normal (z) distribution to find z score.

Procedure:

 

  • Locate the nearest value of 0.90 in the body of the Table A-2.
  • Move left until the first column and note the value as 1.2.
  • Move upward until the top row is reached and note the value as 0.08.

Thus, the z score is 1.28.

Step 2

The formula to find the diastolic blood pressure levels of women x is,

Statistics homework question answer, step 2, image 1
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Step 3

Substitute 70.2 for m, 11.2 for s  ...

Statistics homework question answer, step 3, image 1
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