In: Statistics and Probability
A clinical psychology student wanted to determine if there is a significant difference in the Picture Arrangement scores (a subtest of the WAIS-IV that some feel might tap right-brain processing powers) between groups of right- and left-handed college students. The scores were as follows:
12 8
10 10
12 10
14 12
12 11
10 6
8 7
13 9
7 11
a. Is there a significant difference in the Picture Arrangement scores between the right- and left-handed students? Use α = .05 in making your decision. Be sure to state your hypotheses in symbols and use subscripts to denote each group e.g., and to represent the true population mean Picture Arrangement score ???????ℎ?for right- and left-handed students, respectively. Include the following in your response, if necessary – test statistic, degrees of freedom, computations, critical value(s), and conclusion in the context of the problem.
b. What is the 95% confidence interval for the difference between the means?
c. What does it mean if a confidence interval for the true mean difference contains 0? In other words, does this provide evidence that there truly is a mean difference between the two groups or not?