Explain, stating clearly the assumptions involved in the t-test for testing the significance of difference between two sample means. Measurements of the left-and-right-hand gripping strengths of 8 left-handed writers are recorded:

Person12345678Left hand112131142901251309590Right hand104136135861321208685

Do the data provide strong evidence that the people who write with left hand have greater gripping strength in the left hand than they do in the right hand? Use α=0.05.