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Description: Delays in discharges from intermediate health-care facilities create unnecessary risk and expenses for patients and their families. Discharge delays (in days) from two health care facilities are summarized as follows: for 12 patients from facility 1

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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Delays in discharges from intermediate health-care facilities create unnecessary risk and expenses for patients and their families. Discharge delays (in days) from two health care facilities are summarized as follows: for 12 patients from facility 1 the sample mean was 14.1 days with standard deviation of 3.8; for 12 patients from facility 2 the sample mean was 11 days with sample standard deviation of 3.3 days. Assume that discharge delays are normally distributed. Conduct a hypotheses test to determine whether mean discharge time in facility 1 exceeds mean discharge time in facility 2. Can unknown population variance be assumed equal.

a. The appropriate hypotheses are

b. Degree of freedom and p-value are

c. At the significance level calculated in part (c), we conclude that mean discharge time in facility 1

i. Exceeds mean discharge time in facility 2
ii. Does not exceed mean discharge time in facility 2

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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