A certain group of test subjects had pulse rates with a mean of 78.6 beats per m

Question

A certain group of test subjects had pulse rates with a mean of 78.6 beats per minute and a standard deviation of 11.1 beats per minute. Would it be unusual for one of the test subjects to have a pulse rate of 50.8 beats per minute? Minimum "usual" value = beats per minute Maximum "usual" value = beats per minute Is 50.8 beats per minute an unusual pulse rate? A. No, because it is smaller than the minimum "usual" value. No, because it is between the minimum and maximum "usual" values. No, because it is larger than the maximum "usual" value. Yes, because it is between the minimum and maximum "usual" values. Yes, because it is smaller than the minimum "usual" value. Yes, because it is larger than the maximum "usual" value.

Explanation / Answer

mean=78.6 and sd=11.1

therefore z=(50.8-78.6)/11.1 = -2.5 (smaller than the minimum usual value of -2) so answer is E

Let us assume that the usual value is seen below z=2 and above z=-2

therefore, x=11.1*(-2)+78.6 = 56.4 (minimum)

and x=11.1*(2)+78.6 =100.8

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