65 Runners\' heart rates The figure below is a Norimal probability plot of the h
ID: 3074997 • Letter: 6
Question
65 Runners' heart rates The figure below is a Norimal probability plot of the heart tates of 200 male runner after six minutes of exercise on a treadmill. The distribution is close to Normal. How can you see this? Describe the nature of the small deviations from Normality that are visible in the plot. -2 0 S0 90 100 110 120 1.30 140 150 Heart rate (beats per minute) 66 Carbon dioxide emissions The figure below is a Normal probability plot of the emissions of carbon diosxide per person in 48 countries." In what ways is this distribution non-Normal? 10121L 16 18 .30Explanation / Answer
65. As we can see from the graph that the mean heart beat rate is closer to 100-110
So the distribution is normal across approx mean heart beat of 105 with std deviation of 15 heartbeats
As we can see that for z value of -1 we have the graph cutting the x axis at 90 and same for z=1 it is 120
Which shows 105-90=120-105 = 15 as one standard deviation from the mean
The samll deviation is due to the outliers which are there at approx z value of -3 and z=+3
Where we can see at z value of +3 we have heart beat rate of 145 which is approx (145-105)/15=40/15 =2.66 std deviation apart while
at z=-3 we can see that the value is 70 and hence it is (105-70)/15=35/15 = 2.33 std deviation apart
which has to be 3 in both the cases and this deviation is very minimal and hence we conclude that the nature of the graph is normal.
66. If we look at the garph we can spot that for z=-2 to z=0 i.e. from 2 std deviation from teh lower end till the mean the spread is of approx 2 to 2.5 emissions while towards the upper end for z=2 to z=0 the spread is of 16 to 17 emissisons
Since based upon this larger spread which we cannot ignore, we conclude that this is not a normal plot.
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