Do Left and right-handed people have roughly the same reaction time with their dominant hand.

This means we have to choose 3 left handed people and 27 right handed people (the ratio should add up to 30). Because we are using stratified random sampling we cannot just pick the data ourselves, we have to use a calculator. You type in Ran# (number of sample, which in this case is 30). In order not to get decimals you must put it on fix mode.

My stratified random samples are numbers:

Left; 3, 9 and 8

Right; 181, 150, 226, 110, 120, 89, 169, 132, 98, 109, 95, 47, 5, 105, 113, 195, 191, 193, 149, 214, 9, 221, 258, 51, 189, 185 and 247.

Averages

In order to find the averages you have to add up the first, second and third attempt, then divide by number of attempt, which are 3.

Left handed averages with dominant hand (samples):

0.64 seconds

0.27 seconds

0.27 seconds

Right handed averages with dominant hand (samples):

0.25 seconds

0.18 seconds

0.25 seconds

0.30 seconds

0.38 seconds

0.19 seconds

0.42 seconds

0.33 seconds

0.39 seconds

0.50 seconds

0.25 seconds

0.25 seconds

0.39 seconds

0.28 seconds

0.25 seconds

0.47 seconds

0.24 seconds

0.41 seconds

0.22 seconds

0.31 seconds

0.20 seconds

0.39 seconds

0.27 seconds

0.29 seconds

0.25 seconds

0.33 seconds

To find the total average for the left / right hand you have to add up all your results and divide by number of results.

Total left hand = 1.18/3

= 0.39

Total right hand =7.41/27

=0.27

From this I can see that right handed people have a quicker reaction time with there dominant hand than left handed people do.

Range

To find the range between the total right hand and the total left I must take the smallest one away from the biggest.

Range = 0.39-0.27

=0.12

Although right handed people have quicker reaction times than left handed people do, it is not by much, there is only 12 hundredths between them.

Conclusion

From my study I can conclude that right-handed people are faster than left. But I think that my hypothesis is correct because I predicted that "left and right-handed people would have roughly the same reaction time with their dominant hand" and the difference between them is only 12 hundredths of a second.

Hypothesis 2

I predict that if you have a fast reaction time with your right hand you will have a fast reaction with your left and vice versa.

Plan

In order to prove my hypothesis I am going to do a random sample, using 50 pieces of data. I will draw a scatter graph to see whether my hypothesis is true. In order to draw my scatter diagram I must take both left hand and right hands averages and plot them against each other. For example if my right hand average was 0.63 seconds and my left was 0.54 I would plot 0.63 across the right hand axis (which we could say would be x) then from 0.54 I would go up and plot 0.63 across the left hand axis (which would be y). from this graph I hope to see whether there is negative/positive correlation or if there is none.

Random sampling

In order to random sample I will have to use my calculator. To do this you have to type in Ran#(total data-300)

My Random samples are :

Left hand average

Right hand average

0.32

0.57

.04

0.36

0.95

0.25

0.40

0.31

0.50

0.33

0.30

0.33

0.33

0.33

0.31

0.38

0.39

0.33

0.36

0.33

0.22

0.19

0.28

0.28

0.33

0.36

0.33

0.28

0.22

0.25

0.28

0.25

0.33

0.33

0.27

0.41

0.33

0.39

0.39

0.3

0.88

0.69

0.25

0.44

0.25

0.41

0.22

0.18

0.62

0.273333333

0.24

0.253333333

0.28

0.5

0.28

0.25

0.22

0.25

0.28

0.33

0.31

0.296666667

0.28

0.24

0.27

0.22

0.29

0.253333333

0.31

0.276666667

0.22

0.18

0.22

0.22

0.23

0.203333333

0.64

0.2

0.29

0.293333333

0.28

0.25

0.31

0.29

0.27

0.22

0.31

0.28

0.14

0.27

0.31

0.39

0.27

0.27

0.89

0.49

0.23

0.22

Scatter Graph

From my graph I can see that there is little correlation. Although after looking at it for a little while I have come to the conclusion that you can see the majority of the points that are quick with there left hand are also quick with there right, but there are still a number of exceptions.

Conclusion

I have come to the conclusion that my hypothesis is not fully correct although, I can see that for the majority it is (the majority being roughly 60%) that it is correct.

Key

/ = divide