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A psychologist believes that students’ test scores will be affected if they have too much caffeine...

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Basic Math

A psychologist believes that students’ test scores will beaffected if they have too much caffeine before taking an exam. Toexamine this, she has a sample of n = 15 students drink five cupsof coffee before taking an exam. She uses an exam that has apopulation mean of µ = 72 and a population standard deviation s =3. The mean test score for the sample of 15 students who drank fivecups of coffee before taking the exam was M = 69. Do a t-test usinga = .01 a. Is this a one-tailed test or a two-tailed test? (circleone) b. What is the research hypothesis, H1? c. What is the nullhypothesis, H0? d. Calculate the degrees of freedom (df) for thisproblem. e. From the t-distribution table (B.2), what is thecritical value of tcrit for a = .01? f. Calculate the mean of thedistribution of sample means, µM g. Calculate the standard error ofthe mean, sM h. Calculate the t-score of the sample mean. i. Sketchthe distribution of sample means. Indicate where the sample meanis, where the critical value of t is, and the area under the tailof the curve. j. Can you reject the null hypothesis, H0? YES or NO(circle one) k. Can you accept the research hypothesis, H1? YES orNO (circle one)

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