Lemma
MediumNormal distribution
OpenStax, Introductory Statistics 2e §6.1 The Standard Normal Distribution · Exercise 48 · Statistics · Normal distribution

The Standard Normal Distribution · Exercise 48

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 µ = 125 and standard deviation σ = 14. If X = a systolic blood pressure score then X ~ N (125, 14).

(a) Which answer(s) is/are correct?
(a) Kyle’s systolic blood pressure is 175.
(b) Kyle’s systolic blood pressure is 1.75 times the average blood pressure of men his age.
(c) Kyle’s systolic blood pressure is 1.75 above the average systolic blood pressure of men his age.
(d) Kyles’s systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.
(b) Calculate Kyle’s blood pressure.

~8 minWritten answer · compare with the solution

OpenStax, Introductory Statistics 2e · §6.1 The Standard Normal Distribution · Exercise 48

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.