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In: Statistics and Probability

A clinical psychology student wanted to determine if there is a significant difference in the Picture...

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?

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