Matched or Paired Samples · 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 difference in distances between the dominant and off-hand is significant. Test at the 5% level.

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

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §10.4 Matched or Paired Samples · Try It 3