th of the pulse for a particular Ise length is normally distribu A type of pacemake s than 0.10. If a random sam- deviation of 0.08, should this = 0.05. appropriate choice of the null. the value of the test statistic, e its p-value.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 ºʻ oʻ A type of pacemaker is claimed to be reliable since its standard
deviation o is less than 0.10. 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 a = 0.05.
a) State the appropriate choice of the null hypothesis, and the alternate hypothesis.
b) Compute the value of the test statistic, xổ xổ .
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.
Transcribed Image Text: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 ºʻ oʻ A type of pacemaker is claimed to be reliable since its standard deviation o is less than 0.10. 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 a = 0.05. a) State the appropriate choice of the null hypothesis, and the alternate hypothesis. b) Compute the value of the test statistic, xổ xổ . 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.
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