A certain group of test subjects had pulse rates with a mean of 73.1 beats per minute and a standard deviation of 10.7 beats per minute. Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. Is a pulse rate of 84.5 beats per minute significantly low or significantly high
Solution: We are given:
[tex]\mu=73.1, \sigma=10.7[/tex]
We have to find the limits that will separate the values that are significantly low or significantly high.
Rule of thumb is:
Lower limit [tex]=\mu-2 \times \sigma[/tex]
Upper limit [tex]=\mu+2 \times \sigma[/tex]
Therefore, the lower limit [tex]= 73.1 - 2 \times 10.7=51.7[/tex]
the upper limit [tex]= 73.1 + 2 \times 10.7=94.5 [/tex]
Hence, the limits separating values that are significantly low or significantly high are [tex]51.7,94.5[/tex]
Is a pulse rate of 84.5 beats per minute significantly low or significantly high
Answer: The pulse rate of 84.5 beats per minute is neither significantly low nor significantly high. The pulse rate of 84.5 beats per minute is usual.
According to the range rule, the boundary which represents significantly low and high pulse rates is (51.7 ; 94.5) and 84.5 isn't significantly low or high.
Range rule of thumb :
Lower boundary :
Mean - 2σ:
Upper boundary :
Mean + 2σ:
Hence, the range is (51.7 ; 94.5)
Using the calculated range, a pulse rate of 84.5 beats falls inbetween the normal range, hence, 84.5 beats heart rate isn't significantly low or high.
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