## HLTH 501 WEEK 4 PROBLEMS30 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

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HLTH 501 WEEK 4 PROBLEMS—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. ES μ1 - μ 0

σ Z1- Z

n 1 /2

ES 2 = Alpha = ________

Z1-α/2= ________

Z1-β = ________

ES = ________

n= ________

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 = ________

Z= ________

p= ________

E = ________

n= ________ 3. A crossover trial is planned to evaluate the impact of an educational intervention program to

reduce alcohol consumption in patients determined to be at risk for alcohol problems. The plan

is to measure alcohol consumption (the number of drinks on a typical drinking day) before the

intervention and then again after participants complete the educational intervention program.

How many participants would be required to ensure that a 95% confidence interval for the mean

difference in the number of drinks is within 2 drinks of the true mean difference? Assume that

the standard deviation of the difference in the mean number of drinks is 6.7 drinks.

Z= ________

s= ________

E = ________

Page 1 of 2 HLTH 501 n= ________ Page 2 of 2

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