It is known that maximal volume oxygen uptake of all adults is 36.7 ml/kg. A physician claimsthat joggers’ maximal volume oxygen uptake is greater than the average of all adults. Asample of 15 joggers has a mean of 40.6 ml/kg and standard deviation of 6 ml/kg. Is thereenough evidence to support the physician’s claim at 5% significance level?a) Write the null hypothesis.b) Write the alternative hypothesis.c) Calculate the test statistics.d) What distribution is used?e) Find the critical value.f) Write the decision rule.g) What is the decision.h) Is there enough evidence to support the claim? It is known that maximal volume oxygen uptake of all adults is 36.7 ml/kg. A physician claimsthat joggers' maximal volume oxygen uptake is greater than the average of all adults. Asample of 15 joggers has a mean of 40.6 ml/kg and standard deviation of 6 ml/kg. Is thereenough evidence to support the physician's claim at 5% significance level?a)Write the null hypothesis.b)Write the alternative hypothesis.c)Calculate the test statistics.d)What distribution is used?e)Find the critical value.f)Write the decision rule.g)What is the decision.h)Is there enough evidence to support the claim?

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Description: It is known that maximal volume oxygen uptake of all adults is 36.7 ml/kg. A physician claimsthat joggers’ maximal volume oxygen uptake is greater than the average of all adults. Asample of 15 joggers has a mean of 40.6 ml/kg and standard deviation o

Given Information: Hypothesize value of population mean = 36.7 ml/kg Sample size (n) = 15 Sample…

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MATLAB: An Introduction with Applications

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Author:Amos Gilat

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It is known that maximal volume oxygen uptake of all adults is 36.7 ml/kg. A physician claims
that joggers’ maximal volume oxygen uptake is greater than the average of all adults. A
sample of 15 joggers has a mean of 40.6 ml/kg and standard deviation of 6 ml/kg. Is there
enough evidence to support the physician’s claim at 5% significance level?
a) Write the null hypothesis.
b) Write the alternative hypothesis.
c) Calculate the test statistics.
d) What distribution is used?
e) Find the critical value.
f) Write the decision rule.
g) What is the decision.
h) Is there enough evidence to support the claim?

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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