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i have 2 stat questions, please help me work it out thank you somuch College students need better sleep! A random sample of 87'1 students

i have 2 stat questions, please help me work it out thank you somuch

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College students need better sleep! A random sample of 87'1 students between the ages of 20 and 24 at a large midwestern university completed a survey including questions about their sleep quality, moods, academic performance, physical health, and psychoactive drug use. Sleep quality was measured using the Pittsburgh Sleep Quality Index (PSQI), with students scoring less than or equal to 5 on the index classied as optimal sleepers, those scoring a 6 or T classied as borderline, and those scoring over 7 classied as poor sleepers. The following table looks at the relationship between sleep quality classication and the use of over-the-counter (OTC) or prescription (Rx) stimulant medication more than once a month to help keep awake.15 use or 0mm urns SLEEP ovum on I'SQI lunar to IAIE > muons ormm. sonnnuus POOR Yes 3 7 5 3 84 No 266 Hit; 245 (a) Regarding this survey as approximately an SRS of college students, give a 95% condence interval for the proportion of college students who use over-the- counter or prescription stimulant medication more than once a month to keep awake. (b) Find the conditional distributions of sleep quality for students who use over-the- counter or prescription stimulant medication more than once a month to keep awake and those who don't. Make a graph that compares the two conditional distributions. Use your work to describe the overall relationship between students who use and don't use medications to keep awake and their sleep quality. (c) Do students who use over-the-counter or prescription stimulant medication more than once a month to keep awake di'er signicantly in their quality of sleep from those who don't? State hypotheses, give the chi-square statistic and its P-value, and state your conclusion.

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