Probability and Statistics for Engineering and the Sciences
Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 15.2, Problem 14E
To determine

Test whether the true average score depends on which learning method is used.

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You are going to analyze a study on the intellectual development of engineering students. Perry’s model of intellectual development was applied to undergraduate engineering students at Penn State (Journal of Engineering Education, Jan. 2005). Perry scores (ranging from 1 to 5) were determined for 21 students in a first-year, project-based design course. (Note: A Perry score of 1 indicates the lowest level of intellectual development, and a Perry score of 5 indicates the highest level.) The average Perry score for the 21 students was 3.27. Identify the experimental units for this study. What is the population of interest? The sample? What type of data, quantitative or qualitative, are collected? Use the sample information to make an inference about the population. Use a random number generator to select 3 of the 21 students for further testing.
us. What does this suggest? Source: Pegna, Alan J. et al., "Discriminating Emotional Faces without Primary Visual Cortices Involves the Right Amygdala." Nature Neuroscience, 8(1), 2005. 28. Reproducibility Researchers looked at studies that were reported in newspapers with the goal of determining whether initial studies had results that could be reproduced. Reproducibility of results means that subsequent analysis confirms the conclusion of the original study. Primary studies are studies where the researchers come up with a research objective, clearly state the goals of the study and population, describe the research method, test the research hypotheses, and draw conclusions. (a) Among the 156 primary studies reported by newspapers, 76 had results that were validated by subsequent analysis. Does this suggest less than a majority of initial studies reported by newspapers have their results validated by subsequent analysis? (b) In the article, a null effect is defined as any study where…
McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine whether exposure to head impacts during one season have an effect on cognitive performance. In the study, tests of new learning performance were significantly poorer for the contact sport athletes compared to the noncontact sport athletes. The following table presents data similar to the results obtained in the study. Noncontact Athletes: 10, 8, 7, 9, 13, 7, 6, 12 Contact Athletes: 7, 4, 9, 3, 7, 6, 10, 2 a. Are the test scores significantly lower for the contact sport athletes than for the noncontact athletes? Use a one-tailed test with =.05 t-critical= t= b. Compute the value of (percentage of variance accounted for) for these data. r^2= a. 0.123, b. 0.239, c. 0.138, d. 0.264

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