Kyle\'s doctor told him that the z -score for his systolic blood pressure is 1.7

Question

Kyle's doctor told him that the z-score for his systolic blood pressure is 1.75. Which of the following is the best interpretation of this standardized score? The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean

= 124

and standard deviation

= 13.

(a) Which answer(s) is/are correct? (Select all that apply.)

Kyle's systolic blood pressure is 175.Kyle's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.Kyle's systolic blood pressure is 1.75 times the average blood pressure of men his age.Kyle's systolic blood pressure is 1.75 above the average systolic blood pressure of men his age.

(b) Calculate Kyle's blood pressure. (Enter an exact number as an integer, fraction, or decimal.)

Explanation / Answer

a ) the z score is 1.75

please note that z score has a mean zero and a standard deviation 1

so 1.75 implies that this value is 1.75 standard deviations above the mean. "Above" because the sign is positive

Hence B is correct

b) also , we know that

Z = (X-Mean)/SD , so to calculate Kyles blood pressure , we need to find X

X = 1.75*13 +124 = 146.75

Hope this helps !!

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