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3) A researcher records the following scores on a working memory quiz for two samples. Which sample has the largest standard deviation? Sample A: 2, 3, 4, 5, 6, 7, and 8 Sample B: 4, 5, 6, 7, 8, 9, and 10

3) A researcher records the following scores on a working memory quiz for two samples. Which sample has the largest standard deviation? Sample A: 2, 3, 4, 5, 6, 7, and 8 Sample B: 4, 5, 6, 7, 8, 9, and 10

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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**Question 3: Statistical Analysis of Working Memory Quiz Scores** A researcher records the following scores on a working memory quiz for two samples. Analyze which sample has the largest standard deviation. - **Sample A:** 2, 3, 4, 5, 6, 7, and 8 - **Sample B:** 4, 5, 6, 7, 8, 9, and 10 **Analysis and Explanation:** Standard deviation is a measure of how spread out the numbers in a data set are. A higher standard deviation indicates that the numbers are more spread out from the mean. **Sample A** consists of scores from 2 to 8. **Sample B** has scores ranging from 4 to 10. The scores in Sample B are consistently higher, with a range that is identical to Sample A when considering positions (both spanning seven consecutive numbers), but located at a higher position on the number line. To determine which group has a larger spread in relation to their mean, calculating the standard deviation for each is suggested. In this scenario, visually, it may not be immediately clear which has the larger spread without calculation, as both sets have equally spaced numbers. Importantly, note that Sample B is shifted to higher values than Sample A, but without calculation or further context, assertive conclusions about comparative standard deviations cannot be made purely on this basis alone. For detailed educational inference, actual calculations should be performed.
Transcribed Image Text:**Question 3: Statistical Analysis of Working Memory Quiz Scores** A researcher records the following scores on a working memory quiz for two samples. Analyze which sample has the largest standard deviation. - **Sample A:** 2, 3, 4, 5, 6, 7, and 8 - **Sample B:** 4, 5, 6, 7, 8, 9, and 10 **Analysis and Explanation:** Standard deviation is a measure of how spread out the numbers in a data set are. A higher standard deviation indicates that the numbers are more spread out from the mean. **Sample A** consists of scores from 2 to 8. **Sample B** has scores ranging from 4 to 10. The scores in Sample B are consistently higher, with a range that is identical to Sample A when considering positions (both spanning seven consecutive numbers), but located at a higher position on the number line. To determine which group has a larger spread in relation to their mean, calculating the standard deviation for each is suggested. In this scenario, visually, it may not be immediately clear which has the larger spread without calculation, as both sets have equally spaced numbers. Importantly, note that Sample B is shifted to higher values than Sample A, but without calculation or further context, assertive conclusions about comparative standard deviations cannot be made purely on this basis alone. For detailed educational inference, actual calculations should be performed.
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