MTH 380 Lecture Notes - Lecture 8: Urt, Awi People, Protein Kinase B

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22 Nov 2020
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The lifetime in hours of a 75 - watt light bulb is known to be
normally distributed with standard deviation of 25 hours.
A random sample of 20bulbs has a mean life of I0L4 hours.
a. Construct a 90% Cl ,95% Cl a nd99% Cl on mean life of the bulb.
b. tf we want to be 90% (95%,99%) confident that the error in
estimating mean life is no more than 5 hours, what sample size
should be used?
a. Let X be a Iifetime (in hours) of a75 - watt Iightbulb.
We are given that X is normal random variable with unknown
meanp and sample standard deviation o = 25 hours:
X - Irr( F,o2)
Sampte size n =20 is small (n= 20 <30).
lf population is normal and population variance and
standard deviation are known, s0mpling distribution is
normal for any sampIe size:
o
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