WEEK 4 PROBLEMS-1.docx - HLTH 501 WEEK 4 PROBLEMS30 POINTS...

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HLTH 501 W EEK 4 P ROBLEMS —30 POINTS 10 ponts per problem. 1. The mean body mass index (BMI) for boys age 12 is 23.6. An investigator wants to test if the BMI is higher in 12-year-old boys living in New York City. How many boys are needed to ensure that a two-sided test of hypothesis has 80% power to detect a difference in BMI of 2 units? Assume that the standard deviation in BMI is 5.7. σ μ - μ ES 0 1 2 - 1 /2 1 ES Z Z n Alpha = __0.05______ Z 1-α/2 = ___1.96_____ Z 1-β = __0.84______ ES = ____.35____ n= __64______ 2. An investigator wants to estimate caffeine consumption in high school students. How many students would be required to estimate the proportion of students who consume coffee? Suppose we want the estimate to be within 5% of the true proportion with 95% confidence. Alpha = __0.05______ Z= __1.96______ p= ____0.5____
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