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. Now assume that the data are from a repeated- measures study using the same sample of n = 7 participants in both treatment conditions. Compute the variance for the sample of difference scores, the estimated standard error for the mean differ- ence, and the repeated-measures t statistic. Using .05, is there a significant difference between the two sets of scores? =

. Now assume that the data are from a repeated- measures study using the same sample of n = 7 participants in both treatment conditions. Compute the variance for the sample of difference scores, the estimated standard error for the mean differ- ence, and the repeated-measures t statistic. Using .05, is there a significant difference between the two sets of scores? =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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#20 part b only- show full work for psych stats
### Exercise and Psychological Well-being Exercise is known to produce positive psychological effects. Interestingly, not all exercise is equally effective. Research indicates that exercising in a natural environment (e.g., jogging in the woods) produces better psychological outcomes than exercising in urban environments or in homes (Mackay & Neill, 2010). A sports psychologist is interested in testing whether there is a difference between exercise in nature and exercise in the lab concerning post-exercise anxiety levels. The researcher recruits \( n = 7 \) participants who exercise in the lab and on a nature trail. The following data represent the anxiety scores measured after each exercise session.
Transcribed Image Text:### Exercise and Psychological Well-being Exercise is known to produce positive psychological effects. Interestingly, not all exercise is equally effective. Research indicates that exercising in a natural environment (e.g., jogging in the woods) produces better psychological outcomes than exercising in urban environments or in homes (Mackay & Neill, 2010). A sports psychologist is interested in testing whether there is a difference between exercise in nature and exercise in the lab concerning post-exercise anxiety levels. The researcher recruits \( n = 7 \) participants who exercise in the lab and on a nature trail. The following data represent the anxiety scores measured after each exercise session.
### Table of Anxiety Scores for Participants | Participant | Anxiety after Exercising in Lab | Anxiety after Exercising in Nature | |-------------|---------------------------------|----------------------------------| | A | 32 | 8 | | B | 66 | 68 | | C | 52 | 48 | | D | 48 | 37 | | E | 52 | 44 | | F | 48 | 38 | | G | 52 | 44 | ### Statistical Questions a. **Independent-Measures Study Analysis** Treat the data as if the scores are from an independent-measures study using two separate samples, each with \( n = 7 \) participants. Compute the pooled variance, the estimated standard error for the mean difference, and the independent-measures t statistic. Using \( \alpha = .05 \), is there a significant difference between the two sets of scores? b. **Repeated-Measures Study Analysis** Assume the data are from a repeated-measures study using the same sample of \( n = 7 \) participants in both treatment conditions. Compute the variance for the sample of difference scores, the estimated standard error for the mean difference, and the repeated-measures t statistic. Using \( \alpha = .05 \), is there a significant difference between the two sets of scores?
Transcribed Image Text:### Table of Anxiety Scores for Participants | Participant | Anxiety after Exercising in Lab | Anxiety after Exercising in Nature | |-------------|---------------------------------|----------------------------------| | A | 32 | 8 | | B | 66 | 68 | | C | 52 | 48 | | D | 48 | 37 | | E | 52 | 44 | | F | 48 | 38 | | G | 52 | 44 | ### Statistical Questions a. **Independent-Measures Study Analysis** Treat the data as if the scores are from an independent-measures study using two separate samples, each with \( n = 7 \) participants. Compute the pooled variance, the estimated standard error for the mean difference, and the independent-measures t statistic. Using \( \alpha = .05 \), is there a significant difference between the two sets of scores? b. **Repeated-Measures Study Analysis** Assume the data are from a repeated-measures study using the same sample of \( n = 7 \) participants in both treatment conditions. Compute the variance for the sample of difference scores, the estimated standard error for the mean difference, and the repeated-measures t statistic. Using \( \alpha = .05 \), is there a significant difference between the two sets of scores?
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