Answered: You have measured the blood hemoglobin…

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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You have measured the blood hemoglobin concentrations in a random sample of 12 males aged 20-29 years and have obtained the following values in mg/dL:

[ 14.7 , 15.22, 15.28, 16.58, 15.1 , 15.66, 15.91, 14.41, 14.73, 15.09, 15.62, 14.92]

A) What is the value of the test statistic required to test the following hypotheses on the above sample?

H₀: The mean blood concentration of hemoglobin in 20-29 year old males is 16 g/dL

H_A: The mean blood concentration of hemoglobin in 20-29 year old males is not 16 g/dL.

N. B. Make sure the statistic has the correct sign (either positive or negative)

B) What is the range of the p-value obtained from a one sample t-test on the above sample testing the following hypotheses? (how can I find exact P-Value)

H₀: The mean blood concentration of hemoglobin in 20-29 year old males is 16 g/dL

H_A: The mean blood concentration of hemoglobin in 20-29 year old males is not 16 g/dL.

		Between 0.0001 and 0.001
		Between 0.001 and 0.01
		Between 0.01 and 0.02
		Between 0.02 and 0.05
		Between 0.05 and 0.10
		Between 0.10 and 0.20

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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