Matched or Paired Samples (Optional) · Try It 3

Five ball players think they can throw the same distance with their dominant hand (throwing) and off-hand (catching hand). The data were collected and recorded in. Conduct a hypothesis test to determine whether the mean 5 difference in distances between the dominant and off-hand is significant. Test at the 5 percent level.

$$\begin{array}{cccccc}& \text{Player 1}& \text{Player 2}& \text{Player 3}& \text{Player 4}& \text{Player 5}\\ \text{Dominant Hand}& \text{120}& \text{111}& \text{135}& \text{140}& \text{125}\\ \text{Off-Hand}& \text{105}& \text{109}& \text{98}& \text{111}& \text{99}\end{array}$$

OpenStax, Statistics · §10.4 Matched or Paired Samples (Optional) · Try It 3