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Answer on Statistics and Probability Question for Shallini

Question #19488
3. Rumor has it, going to class and reading the textbook will improve your chances of doing well (i.e., better than average) in stat’s class. You notice that there are four students in the class that always go to class and review the textbook everyday. To determine if the rumors are true, you ask those four students their marks on the quiz and find that their scores are:

60 60 61 67

Based on these scores and the knowledge that the exam scores are normally distributed (μ=50, σ=10), what can you conclude about the effect of going to every class and reviewing the textbook everyday on marks on the quiz? Do you reject or fail to reject the null hypothesis? What is the effect size? Assuming α=0.05, state your hypotheses, the critical test statistic, your conclusion, and show all your work.
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