For a data set of the pulse rates for a sample of adult females, the lowest puls

Question

For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38 beats per minute, the mean of the listed pulse rates is x overbarx equals=71.0 beats per minute, and their standard deviation is s=10.6 beats per minute.

What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females?

How many standard deviations is that [the difference found in part (a)]?

Convert the pulse rate of 38 beats per minutes to a z score.

If we consider data speeds that convert to z scores between 2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?

Explanation / Answer

Ans a)

The difference between pulse rate of 38 and mean pulse rate is 71-38 = 33

b)

the number of standard deviations = 33/10.6 = 3.113

c)

z score = (38-71)/10.6

= -3.113

d)

The z score is less than -2 the pulse rate is significantly low

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