Research Question: Is There A Significant Difference 855024 ✓ Solved

Research question: Is there a significant difference between

Research question: Is there a significant difference between the 10th grade average math score and the 10th grade average reading score? Data: The dataset has 64 observations and 21 variables, with the variables of interest being the “10th grade average math score” and the “10th grade average reading score.” Hypotheses: Ho: there is no significant difference between the two scores. H1: there is a significant difference. Analysis: The scores come from the same participants, so a paired-samples t-test is appropriate. Descriptive statistics: report means and standard deviations for both scores and note any outliers. Normality: assess skewness and use Shapiro–Wilk test; comment on normality. If normal, proceed with the t-test; if not, consider a nonparametric alternative. Significance: adopt α = 0.05. Result reporting: provide t statistic, degrees of freedom, and exact p-value. Conclude whether to reject Ho. Include discussion of practical significance and limitations. Include references to relevant statistical texts and SPSS resources as appropriate.

Paper For Above Instructions

Theoretical framework and hypotheses

Data and descriptive statistics

Normality and correlation considerations

Inferential results

Results interpretation and implications

Limitations and robustness considerations

Conclusion

References

  1. Field, A. (2013). Discovering statistics using IBM SPSS statistics. SAGE.
  2. Ravid, R. (2019). Practical statistics for educators. Rowman & Littlefield.
  3. Demidenko, E. (2019). Advanced statistics with applications in R (Vol. 392). John Wiley & Sons.
  4. Sullivan, L. (2012). SPSS Survival Manual. McGraw-Hill Education.
  5. Mertler, C. A., & Vannatta, R. A. (2010). Advanced data analysis from an applied perspective. Pyrczak.
  6. Babinec, A. J. (2017). Data analysis with IBM SPSS statistics. Packt Publishing.
  7. Stehlik-Barry, K., & Babinec, A. J. (2017). Data analysis with IBM SPSS statistics. Packt Publishing.
  8. Morgan, G. A., Barrett, K. C., Leech, N. L., & Gloeckner, G. W. (2019). IBM SPSS for introductory statistics: Use and interpretation. Routledge.
  9. Holcomb, Z. C. (2016). Fundamentals of descriptive statistics. Routledge.
  10. Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Lawrence Erlbaum.

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