Answered: Boys and girls: The National Health…

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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Boys and girls: The National Health Statistics Reports reported that a sample of

311

one-year-old boys had a mean weight of

25.3

pounds with a standard deviation of

3.6

pounds. In addition, a sample of

287

one-year-old girls had a mean weight of

24.2

pounds with a standard deviation of

4.0

pounds.

Part: 0 / 2

0 of 2 Parts Complete

Part 1 of 2

Construct a

confidence interval for the difference between the mean weights. Let

μ1

denote the mean weight of one-year-old boys. Use tables to find the critical value and round the answers to at least one decimal place.

confidence interval for the difference between the mean weights is

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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