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.
Let denote the mean superior Picture Arrangement scores for left handed and right handed people respectively.
Conclusion in context of problem :
There is not sufficient evidence to support the claim that handedness affects scores on the Picture Arrangement subtest of the WAIS III.