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For males in a certain town, the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of 10. Using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.

Respuesta :

okpalawalter8

Answer:

[tex]G=93\ to\ 147[/tex]

Step-by-step explanation:

From the question we are told that

Mean [tex]x= 120[/tex]  

Standard deviation [tex]\sigma= 9[/tex]

Percentage for men =99.75%

Generally the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean  

Standard deviation n= 9

Mean x= 120

Generally the interval  of systolic blood pressure for middle 99.7 of male G is mathematically given as

[tex]G=Mean \pm 3* \sigma[/tex]

[tex]G=120 \pm 3*9[/tex]

[tex]G=93\ to\ 147[/tex]