Question

A certain group of test subjects had pulse rates with a mean of 82.9 beats per minute and a standard deviation of 12.4 beats per minute. Would it be unusual for one of the test subjects to have a pulse rate of 147.7 beats per minute? Minimum "usual" value beats per minute (Type an integer or a decimal.) Maximum "usual value beats per minute (Type an integer or a decimal.) Is 147.7 beats per minute an unusual pulse rate? O A. No, because it is smaller than the minimum "usual value. O B. No, because it is between the minimum and maximum "usual" values. ° C. Yes, because it is between the minimum and maximum "usual. values. O D. Yes, because it is smaller than the minimum "usual" value. OE. No, because it is larger than the maximum "usual" value. OF. Yes, because it is larger than the maximum usual value.

Answer 1

$\mathbf{Solution}$

$\mathbf{given:}\;\mu=82.9,\;\sigma=12.4$

$Minimum\;"usual"\;value=\mu-2\sigma\Rightarrow 82.9-(2*12.4)=\mathbf{{\color{Red} 58.1}}\;beats\;per\;minute$

$Maximum\;"usual"\;value=\mu+2\sigma\Rightarrow 82.9+(2*12.4)=\mathbf{{\color{Red} 107.7}}\;beats\;per\;minute$

$\mathbf{{\color{Red} F.}\; {\color{Blue} Yes, \;because\; it\; is \;larger\; than\; the \;maximum\; "usual"\; value}}$