Answered: Description: Researchers at Kaiser…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

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?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution