Question

A certain group of test subjects had pulse rates with a mean of 80.9 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 142.3 beats per minute significantly low or significantly​ high?

Answer 1

We want to find the usual limits using the rule of thumb and for this case rule states that we have most of the values within 2 deviations from the mean so then we can find the usual limits like this:

`\mu -2*\sigma = 80.9 -2*10.7= 59.5`

`\mu +2*\sigma = 80.9 -2*10.7= 102.3`

And for this case a value of 142.3 is higher than the upper limti so then we can conclude that would be significantly high with the rule of thumb criteria

Explanation:

For this case we have the follwing info given:

`\mu = 80.9` represent the mean

`\sigma = 10.7` represent the deviation

We want to find the usual limits using the rule of thumb and for this case rule states that we have most of the values within 2 deviations from the mean so then we can find the usual limits like this:

`\mu -2*\sigma = 80.9 -2*10.7= 59.5`

`\mu +2*\sigma = 80.9 -2*10.7= 102.3`

And for this case a value of 142.3 is higher than the upper limti so then we can conclude that would be significantly high with the rule of thumb criteria