Answered: All pacemakers generate a pulse of…

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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Question

All pacemakers generate a pulse of current to depolarize a bit of the

heart, the wave then spontaneously spreads to the rest of that part of the heart. Pulse duration is

programmable in all currently manufactured permanent pacemakers. The shorter the pulse, the

greater the necessary current. The length of the pulse for a particular setting will vary due to

random fluctuations such that the actual pulse length is normally distributed with a mean equal to

the setting and with an unknown variance ??2. A type of pacemaker is claimed to be reliable since

its standard deviation σ is less than 0.06. If a random sample of 20 pacemakers of that type

resulted in a sample standard deviation of 0.08, should this claim be accepted? Suppose the level

of significance is α = 0.05.

a) State the appropriate choice of the null hypothesis, and the alternate hypothesis.

b) Compute the value of the test statistic, ??0

c) Determine its p-value.

d) Based on this evidence, should the claim be accepted? Also, comment on the

appropriate choice of a significance level for this problem.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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