Answered: Listed in the data table are IQ scores…

Name: Listed in the data table are IQ scores for a random sample of subjects
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Description: Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood.Also listed are Satistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples

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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Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood.Also listed are Satistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distibuted populations. Do not assume that the population standard deviations are equal. What are the null and alternative hypothesis? Assume population 1 consist subjects with medium lead levels and population 2 consist of subjects with high lead levels.

The test satistic is?
The P value is?
State a conclusion for the test

Construct a confidence interval suitable for the claim that the mean IQ scores for subjects with a medium lead level is higher than the mean for subjects with high lead levels.

IQ Scores
- X
rar
Ssu
ual.
of IC
Medium Lead Level O High Lead Level
72
n2 = 11
82
cla
92
X2 = 89.821
%3D
85
es?
85
S2 = 10.690
97
83
92
103
111
91
Drint
Done

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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