A concern to public health officials is whether a concentration of lead in the paint of older homes may have an effect on the muscular development of young children. In order to evaluate this phenomenon, a researcher exposed 90 newly born mice to paint containing a specified amount of lead. The number of Type 2 fibers in the skeletal muscle was determined 6 weeks after exposure. The mean number of Type 2 fibers in the skeletal muscles of normal mice of this age is 21.7. Ninety (90) mice yielded mean and standard deviation values of Type 2 fibers in their muscles as 18.8 and 15.3, respectively. Please calculate the level of significance of statistical test. Is there significant evidence in the data to support the hypothesis that the mean number ofType 2 fibers is different from 21.7 using an α = 0.05 test? 1. A concern to public health officials is whether a concentration of lead in the paint of older homesmay have an effect on the muscular development of young children. In order to evaluatethis phenomenon, a researcher exposed 90 newly born mice to paint containing a specified amountof lead. The number of Type 2 fibers in the skeletal muscle was determined 6 weeks after exposure.The mean number of Type 2 fibers in the skeletal muscles of normal mice of this age is 21.7. Ninety(90) mice yielded mean and standard deviation values of Type 2 fibers in their muscles as18.8 and 15.3, respectively.a. Please calculate the level of significance of statistical test.b. Is there significant evidence in the data to support the hypothesis that the mean number ofType 2 fibers is different from 21.7 using an a = 0.05 test?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A concern to public health officials is whether a concentration of lead in the paint of older homes may have an effect on the muscular development of young children. In order to evaluate this phenomenon, a researcher exposed 90 newly born mice to paint containing a specified amount of lead. The number of Type 2 fibers in the skeletal muscle was determined 6 weeks after exposure. The mean number of Type 2 fibers in the skeletal muscles of normal mice of this age is 21.7. Ninety (90) mice yielded mean and standard deviation values of Type 2 fibers in their muscles as 18.8 and 15.3, respectively.

Please calculate the level of significance of statistical test.

Is there significant evidence in the data to support the hypothesis that the mean number of

Type 2 fibers is different from 21.7 using an α = 0.05 test?

1. A concern to public health officials is whether a concentration of lead in the paint of older homes
may have an effect on the muscular development of young children. In order to evaluate
this phenomenon, a researcher exposed 90 newly born mice to paint containing a specified amount
of lead. The number of Type 2 fibers in the skeletal muscle was determined 6 weeks after exposure.
The mean number of Type 2 fibers in the skeletal muscles of normal mice of this age is 21.7. Ninety
(90) mice yielded mean and standard deviation values of Type 2 fibers in their muscles as
18.8 and 15.3, respectively.
a. Please calculate the level of significance of statistical test.
b. Is there significant evidence in the data to support the hypothesis that the mean number of
Type 2 fibers is different from 21.7 using an a = 0.05 test?

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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