Answered: Preterm infants with late metabolic…

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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Preterm infants with late metabolic acidosis (n=55) were compared to preterm infants without the condition (n=70) with respect to the level of a certain chemical in their urine. The infants with the condition had a mean level of 8.9 with a standard deviation of 4.3, while infants without the condition had a mean level of 5.0 with a standard deviation of 3.8. Construct a two-sided 95% confidence interval for the difference between the two means. Assume equal variances. You MUST show your work to receive full credit. Partial credit is available. Give the following in your answer:

1. The value for t and how you found it, 2. The calculation of the pooled variance, 3. The calculation of the Standard Error, 4. The calculation of the Margin of Error, 5. The calculation of the upper and lower limits, and 6. An interpretation of the confidence interval. Upload an image, pdf, or Word file with pictures of your handwritten work.

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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