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Beanie owns a gas pump that is honest. When the pump reads 24 gallons of gas, you might not get exactly 24 gallons because of

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Answer #1
for normal distribution z score =(X-μ)/σx
here mean=       μ= 24
std deviation   =σ= 0.300
sample size       =n= 100
std error=σ=σ/√n= 0.0300

P(declare faulty if mean is less than 23.91 or more than 24.09):

probability = 1-P(23.91<X<24.09) = 1-P(-3<Z<3)= 1-(0.9987-0.0013)= 0.0026
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