case 1 problem 3 appendix c final version.docx - Appendix C...

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Appendix C Problem 3, Right-hand vs. Left-hand First of all, according to the information provided in the problem, we can know that the times required to move the indicator a fixed distance by each of the student by right-hand and left-hand are paired samples. Therefore, our analysis type chosen to use is paired-sample t for mean. Furthermore, both samples are selected randomly and each of them is independent. Figure 1: Figure 2: Figure 3: Secondly, according to the goodness-of-fit test, we can see that samples are centered on the mean. Meanwhile, the pattern of the graph is almost symmetric in the histogram. In that case, it is safely to make a conclusion that the difference (X D ) between the right-hand and left-hand follows normal distortion. Moreover, samples are no more than 10% of population. In the case, n=25, which can considered as a very small sample size selected form a very large population. It is obvious that 10% condition is met.
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