Use Table 13.1 “How Relationship Strength and Sample Size Combine to Determine Whether a Result Is Statistically Significant” (Links to an external site.) to decide whether each of the following results is statistically significant. Please also explain why you determined whether or not the results are statistically significant. The correlation between two variables is r = −.78 based on a sample size of 137.The mean score on a psychological characteristic for women is 25 (SD = 5) and the mean score for men is 24 (SD = 5). There were 12 women and 10 men in this study.In a memory experiment, the mean number of items recalled by the 40 participants in Condition A was 0.50 standard deviations greater than the mean number recalled by the 40 participants in Condition B.In another memory experiment, the mean scores for participants in Condition A and Condition B came out exactly the same!A student finds a correlation of r = .04 between the number of units the students in his research methods class are taking and the students’ level of stress.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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Use Table 13.1 “How Relationship Strength and Sample Size Combine to Determine Whether a Result Is Statistically Significant” (Links to an external site.) to decide whether each of the following results is statistically significant. Please also explain why you determined whether or not the results are statistically significant.

1. The correlation between two variables is r = −.78 based on a sample size of 137.
2. The mean score on a psychological characteristic for women is 25 (SD = 5) and the mean score for men is 24 (SD = 5). There were 12 women and 10 men in this study.
3. In a memory experiment, the mean number of items recalled by the 40 participants in Condition A was 0.50 standard deviations greater than the mean number recalled by the 40 participants in Condition B.
4. In another memory experiment, the mean scores for participants in Condition A and Condition B came out exactly the same!
5. A student finds a correlation of r = .04 between the number of units the students in his research methods class are taking and the students’ level of stress.