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  3. 1 an experimenter examining decisionmaking asked 10 children to solve...

Question: 1 an experimenter examining decisionmaking asked 10 children to solve...

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1. An experimenter examining decision-making asked 10 children to solve as many problems as they could in 10 minutes. One group (5 subjects) was told that this was a test of their innate problem-solving ability; a second group (5 subjects) was told that this was just a time filling task. The data for each group is presented below. Innate ability: 4,5,8, 3,7 Time-filling task: 11, 6,9,7,9 Does the mean number of problems solved vary with the experimental condition? i.e., is there a difference in the means for the two groups? When addressing this question, use a significance level of.05. (a) State the null and alternative hypotheses that are implied by the question that is posed. (b) Assume that, in the population, it is reasonable to believe that number of problems solved is normally distributed. You can also assume that the variances are equal. Given these assumptions, compute the appropriate test statistic to test the null hypothesis from part A.(c) what is the decision rule for making a decision about the null hypothesis? i.e., what is the critical value(s) that would be used for this problem? (d) What is the decision regarding the null hypothesis? (e) Based on the results, what practical conclusion might we come to with regard to decision-making? Think about the two experimental conditions when answering this question.

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