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Discuss the t statistic as described in Chapter 9 of your textbook (Gravetter et al., 2021). Describe the circumstances in which a t statistic is used for hypothesis testing instead of a z-score and explain the fundamental difference between a t statistic and a z-score for a sample mean. Discuss the relationship between the t distribution and the normal distribution. Explain how sample size and sample variance he likelihood of rejecting the null hypothesis for a t test and also how they influence the effect size for a t test. Finally, explain how a confidence interval can be used to describe the size of a treatment effect for a test and describe the factors that affect the width of a confidence interval. Remember to provide terms, definitions, and examples from your textbook (Gravetter et al., 2021) in your discussion post.
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