Question

Blood pressure A medical study finds that $\overline{x}=114.9$and $s_x=9.3$

for the seated systolic blood pressure of the $27$randomly selected adults. What is the standard error of the mean? Interpret this value in context.

Short answer

Mean standard error is$1.79$

Step-by-step solution

Given Information

It is given that $\left(\overline{x}\right)=114.9$

$\left(s_x\right)=9.3$

$n=27$

Concept Used

Formula to be used:

$S{E}_{\overline{x}}=\frac{s_x}{\sqrt{n}}$

Calculation

Standard Error of Mean is calculated as

$S{E}_{\overline{x}}=\frac{s_x}{\sqrt{n}}$

$=\frac{9.3}{\sqrt{27}}$

$=1.79$

Hence, required standard error of mean is$1.79$