Description: Researchers at Kaiser Permanente want to test whether the mean baseline BMI for the population of middle-aged men who go on to develop diabetes is different from the population mean for men who do not develop diabetes. They develop a study for which they follow 86 men that are between 40 and 45 years of age for 20 years to determine if they develop diabetes. A total of 28 men go on to develop diabetes. These men had a mean baseline BMI at time of enrollment of x̄ = 25.6kg/m2 and standard deviation s = 3.1 kg/m2. The remaining men had a mean baseline BMI at time of enrollment of x̄ = 22.4 kg/m2 and standard deviation s = 2.7 kg/m2. If we want 90% power to reject H0 when HA is true, assuming the above scenario, what is the minimum number of subjects we need to enroll?
Description: Researchers at Kaiser Permanente want to test whether the mean baseline BMI for the population of middle-aged men who go on to develop diabetes is different from the population mean for men who do not develop diabetes. They develop a study for which they follow 86 men that are between 40 and 45 years of age for 20 years to determine if they develop diabetes. A total of 28 men go on to develop diabetes. These men had a mean baseline BMI at time of enrollment of x̄ = 25.6kg/m2 and standard deviation s = 3.1 kg/m2. The remaining men had a mean baseline BMI at time of enrollment of x̄ = 22.4 kg/m2 and standard deviation s = 2.7 kg/m2.
If we want 90% power to reject H0 when HA is true, assuming the above scenario, what is the minimum number of subjects we need to enroll?
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