Dr. Rancur believes that working memory errors (M) will increase linearly with increases in level of cognitive load (CL). He randomly assigns 10 subjects to each of four cognitive load levels: 1, 3, 5 and 7 and assesses subjects’ memory performance. The results of his study are exhaustively summarized below. Using the summary information, carry out an analysis to determine if M is related to CL in the way Dr. Rancur predicts. Make sure you estimate the magnitude of the association, and construct a confidence interval as appropriate. In a summary sentence or two, evaluate the evidence for or against Dr. Rancur’s prediction.

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Dr. Rancur believes that working memory errors (M) will increase linearly with increases in level of cognitive load (CL). He randomly assigns 10 subjects to each of four cognitive load levels: 1, 3, 5 and 7 and assesses subjects’ memory performance. The results of his study are exhaustively summarized below.

Using the summary information, carry out an analysis to determine if M is related to CL in the way Dr. Rancur predicts. Make sure you estimate the magnitude of the association, and construct a confidence interval as appropriate. In a summary sentence or two, evaluate the evidence for or against Dr. Rancur’s prediction.

Cognitive Load
1
3
5
7
Mean of M
5.54
5.78
7.02
7.42
Variance of M
9.77
4.00
6.04
4.96
10
10
10
10
Grand Mean of CL
4.00
Overall Var of CL
5.13
Grand Mean of M
6.44
Overall Var of M
6.37
Cov(CL, M)
1.76
Transcribed Image Text:Cognitive Load 1 3 5 7 Mean of M 5.54 5.78 7.02 7.42 Variance of M 9.77 4.00 6.04 4.96 10 10 10 10 Grand Mean of CL 4.00 Overall Var of CL 5.13 Grand Mean of M 6.44 Overall Var of M 6.37 Cov(CL, M) 1.76
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