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StatisticsQ&A LibraryIn 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.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.

Step 1

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

The 90^{th} 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,

Step 3

Substitute 70.2 for *m*, 11.2 for *s* ...

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