part 3 question *3*A physician claims that joggers' maximal volume oxygen uptake is greater than the average of all adults, which is 36.7 ml/kg.A sample of 35 joggers has a mean of 40.6 milliliters per kilogram (ml/kg) and a standard deviation of 6 ml/kg.Is there enough evidence to support the physician's claim using α=0.05 ?

Answer - A physician claims that joggers' maximal volume oxygen uptake is greater than the average of all adults, which is 36.7 ml/kg. Then the null and alternative hypothesis H0 : μ = 36.7 H1 : μ > 36.7 A sample size n = 35 joggers has a mean x = 40.6 (ml/kg) and a standard deviation s = 6 ml/kg.Now The test statistic z = x - μsn = 40.6 - 36.7635 = 3.8455 So P- value = P( z > 3.8455) = 0.00006 ≅0.0001 Here P-value < α ⇒ Reject H0

Answered: A physician claims that joggers'…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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part 3 question *3*

A physician claims that joggers' maximal volume oxygen uptake is greater than the average of all adults, which is 36.7 ml/kg.
A sample of 35 joggers has a mean of 40.6 milliliters per kilogram (ml/kg) and a standard deviation of 6 ml/kg.
Is there enough evidence to support the physician's claim using α=0.05 ?

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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