SOLUTION: A certain miller claims that the average weight of a cavan of rice is 50 kg with a
population standard deviation of 2.5. A retailer sampled 20 cavans of this rice and got an
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-> SOLUTION: A certain miller claims that the average weight of a cavan of rice is 50 kg with a
population standard deviation of 2.5. A retailer sampled 20 cavans of this rice and got an
av
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Question 1180427: A certain miller claims that the average weight of a cavan of rice is 50 kg with a
population standard deviation of 2.5. A retailer sampled 20 cavans of this rice and got an
average weight of 46.6 kg. Is the claim of the rice miller valid using 5 % level of significance?
You can put this solution on YOUR website! This is a one sample z-test
Assuming randomness and normality,
Ho: mu=50 kg
Ha: mu NE 50 kg
alpha=0.05 p{reject Ho| Ho true}
test stat is a z, reject if |z|>1.96
z=(46.6-50)/2.5/sqrt(20)
=-3.4*sqrt(20)/2.5
=6.08
NO, strongly reject Ho with strong evidence that the average weight is below 50 kg.
P<<0.0001 (about 10^(-9))
