In: Statistics and Probability
Abbie wants to determine whether handedness affects scores on the Picture Arrangement subtest of the WAIS III, as this test is suggested to tap right-brain processing powers. Abbie gives the test to a group of right-handers and a group of left-handers; their scores are below:
Left-handed: 12, 10, 12, 14, 12, 10, 8 Right-handed: 8, 10, 10, 12, 11, 6, 7, 5, 9, 8
Test Abbie’s hypothesis that left-handed participants have superior Picture Arrangement scores compared to right-handers; with an alpha of .01.
a. State the H0 and H1 hypotheses, in statistical notation, and identify the critical t value(s).
b. Calculate standard error and the observed t-statistic. What is your decision regarding the null hypothesis? Why?
c. State your results in nonstatistical terms.