Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Suppose that the mean systolic blood pressure for women over age seventy is 131 mmHg (millimeters of mercury), with a standard deviatiob of 9 mmHg. Supposed that the blood pressures are normally distributed. Complete the following statements. Choose the correct answer (68,75,95,99.7)

Suppose That The Mean Systolic Blood Pressure For Women Over Age Seventy Is 131 MmHg Millimeters Of Mercury With A Standard Deviatiob Of 9 MmHg Supposed That Th class=

Sagot :

Answer:

(a)Approximately 99.7% of women over 70 have blood pressures between 104 mmHg and 158 mmHg.

(b)Approximately 68% of women over 70 have blood pressures between 122 mmHg and 140 mmHg.

Explanation:

Given:

• Mean = 131 mmHg

,

• Standard Deviation = 9 mmHg.

By the empirical rule, in a normal distribution:

• 68% of the data falls within one standard deviation.

,

• 95% percent within two standard deviations, and

,

• 99.7% within three standard deviations from the mean.

(a)

As given by the empirical rule above, 99.7% of data in a normal distribution falls within three standard deviations from the mean. That is:

[tex]\mu\pm3\sigma[/tex]

Substitute the given values:

[tex]\begin{gathered} 131\pm3(9)=131\pm27 \\ =(131-27,131+27) \\ =(104,158) \end{gathered}[/tex]

Approximately 99.7% of women over 70 have blood pressures between 104 mmHg and 158 mmHg.

(b)As given by the empirical rule above, 68% of data in a normal distribution falls within one standard deviation from the mean. That is:

[tex]\mu\pm\sigma=(131-9,131+9)=(122,140)[/tex]

Approximately 68% of women over 70 have blood pressures between 122 mmHg and 140 mmHg.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.