please assist with these questions I am having trouble at this time
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-β = ________
ES = ________
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 = ________
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.
E = ________
Page 1 of 2 HLTH 501 n= ________ Page 2 of 2
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