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Research has shown that stress can negatively impact individuals in various aspects of their lives. A researcher is particularly interested in investigating the relationship between

  1. Research has shown that stress can negatively impact individuals in various aspects of their lives. A researcher is particularly interested in investigating the relationship between stress and self-esteem among first-year students. They collect data from 8 students (n=8). Each student completes a questionnaire which includes both a stress and self-esteem scale. The collected data is presented below:
Perceived stress Self-esteem scores
29 51
22 40
19 47
31 63
27 46
21 43
39 25
39 35

Following the hypothesis-testing process, investigate the relationship between stress and self-esteem by conducting a correlation. You are required to use a two-tailed test with an alpha level of 0.05. All calculations must be done manually (i.e., show all working). 15 Marks

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