Answered: a. Conduct the appropriate hypothesis…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

4. Diastolic blood pressure for diabetic women has a normal distribution with
unknown mean and a standard deviation equal to 10 mmHg. Researchers want
to know if the mean DBP of diabetic women is equal to the mean DBP among the
general public, which is known to be 76 mmHg. A sample of 10 diabetic women
is selected and their mean DBP is calculated as 85mmHg.

a. Conduct the appropriate hypothesis test at the 0.01 significance level.

b. What would a Type-1 error in example setting be?

c. How much power do you have to detect a difference of 11 mmHg between
men and women?

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 + ...

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