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
Chapter 15 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 15.1 - Give as much information as you can about the...Ch. 15.1 - Here again is the data on expense ratio (%) for a...Ch. 15.1 - The accompanying data is a subset of the data...Ch. 15.1 - A random sample of 15 automobile mechanics...Ch. 15.1 - Both a gravimetric and a spectrophotometric method...Ch. 15.1 - Reconsider the situation described in Exercise 39...Ch. 15.1 - Use the large-sample version of the Wilcoxon test...Ch. 15.1 - Reconsider the port alcohol content data from...Ch. 15.1 - Prob. 9ECh. 15.2 - Prob. 10E
Ch. 15.2 - Prob. 11ECh. 15.2 - The article A Study of Wood Stove Particulate...Ch. 15.2 - The urinary fluoride concentration (parts per...Ch. 15.2 - Prob. 14ECh. 15.2 - The article Measuring the Exposure of Infants to...Ch. 15.2 - Prob. 16ECh. 15.3 - Prob. 17ECh. 15.3 - Compute the 99% signed-rank interval for true...Ch. 15.3 - Prob. 19ECh. 15.3 - Prob. 20ECh. 15.3 - Prob. 21ECh. 15.3 - Compute a 99% CI for 1 2 using the data in...Ch. 15.4 - The accompanying data refers to concentration of...Ch. 15.4 - Prob. 24ECh. 15.4 - Prob. 25ECh. 15.4 - Prob. 26ECh. 15.4 - In an experiment to study the way in which...Ch. 15 - The article Effects of a Rice-Rich Versus...Ch. 15 - Prob. 29SECh. 15 - The given data on phosphorus concentration in...Ch. 15 - Prob. 31SECh. 15 - Prob. 32SECh. 15 - The sign test is a very simple procedure for...Ch. 15 - Prob. 34SECh. 15 - Prob. 35SECh. 15 - Prob. 36SE
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- Statistics Questionarrow_forwardMcAllister, 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 Contact Athletes 10 7 8 4 7 9 9 3 13 7 7 6 6 10 12 2 Are the neurological test scores significantly lower for the contact athletes than for the noncontact athletes in the control group? Use a one-tailed test with α = .05. Compute the value of r² (percentage of variance accounted for) for these data.arrow_forwardWhat does an interaction in two-way ANOVA mean? (I’m not asking what it looks like graphically, but what does it mean?)arrow_forward
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