for normal distribution z score =(X-μ)/σx | |
here mean= μ= | 24 |
std deviation =σ= | 0.300 |
sample size =n= | 100 |
std error=σ_{x̅}=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 |
Beanie owns a gas pump that is honest. When the pump reads 24 gallons of gas,...
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 random variation, but on average it delivers 24 gallons. The standard deviation is 0.3 gallons. The government is going to do a random check on Beanie's gas pump. They will select 100 random times to fill up to where the gas pump says "24 gallons", and then in the lab they will measure it to...
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