Stats Solutions

(Step-by-Step) The next example will be a test on the difference in agility between the dominant hand and the non-dominant hand. Difference Between the

Question: The next example will be a test on the difference in agility between the dominant hand and the non-dominant hand.

Difference Between the Agility of the Dominant and Non-Dominant Hands

In a study on the agility of the dominant versus the non-dominant hand, a researcher believes that there is a significant difference between the agility of the two hands. To test this hypothesis, the researcher chooses a random sample of 15 individuals and collects the data given in the table below.

\(\begin{aligned} & \text{The hypotheses are: }{{\mu }_{d}}=0 \\ & \text{ }{{\mu }_{d}}\ne 0 \\ \end{aligned}\)
Dom NonDom Diff
22 18 4
19 15 4
18 13 5
17 16 1
15 17 -2
16 16 0
16 14 2
20 16 4
17 20 -3
15 15 0
17 17 0
17 17 0
14 16 -2
20 18 2
26 25 1

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