In: Statistics and Probability
Note: If the alpha level is not included, set the alpha to .05. Problem 1: The Graded Naming Test (GNT) asks respondents to name objects in a set of 30 black and white drawings in order to detect brain damage. The GNT population norm for adults in England is 20.4. Researchers wondered whether a sample for Canadian adults had different scores from adults in England (Roberts, 2003). If the scores were different, the English norms would not be valid for use in Canada. The mean for 30 Canadian adults was 17.5. Assume that the standard deviation of the adults in England is 3.2. How can we calculate a 95% Confidence Interval (CI) for these data?
Calculate a 95% CI and a 90% CI for this data.
Are the English norms valid for use in Canadian use?
Explain how you know your answer to be true.
How do the two CI’s (95% and 90%) compare to one another?
What is the effect size for these data?
What does this effect size indicate about the meaningfulness of this test for Canadians?
What would you recommend doing to increase the power of this experiment?