Answered: Testing for a Difference in Pulse Rates

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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Testing for a Difference in Pulse Rates

Exercise 6.250 describes pulse rates collected from 10 students, once during a quiz and once during a lecture. The data are given in Table 6.23 and stored in QuizPulse10. We might expect mean pulse rates to increase under the stress of a quiz. Use the information in Exercise 6.250 and the data in Table 6.23 to test whether the data provide sufficient evidence to support this claim.

Table6.23 Quiz and lecture pulse rates for 10 students

Student	1	2	3	4	5	6	7	8	9	10	Mean	Std. Dev.
Quiz	75	52	52	80	56	90	76	71	70	66	68.8	12.5
Lecture	73	53	47	88	55	70	61	75	61	78	66.1	12.8

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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