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

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?

Answer by Boreal(15235) (Show Source): 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))

RELATED QUESTIONS
"A certain rice miller says that the average weight of a cavan of rice is 50 kilograms... (answered by Boreal)

in a rice mill the bags of rice has mean weight of 5.05 kg and standard deviation is 0.02 (answered by CPhill)

Measurements were taken of the weight (to the nearest 5 Kg�s) of 100 individuals from a... (answered by Boreal)

A seller of less salt diet claims that by consuming his food he can lose an average of... (answered by Boreal)

boys and girls birth weight exercise 6.28 mentioned that in the United States, birth... (answered by Boreal)

1. A ball is drawn at random from a box containing 6 red balls, 4 white balls, and 5 blue (answered by Edwin McCravy)

Please help me understand and accomplish the following problem: The average weight of... (answered by stanbon)

A weight loss program claims that on average people lose 10 pounds in 7 days. A... (answered by ewatrrr)

A fish stall owner at a market place claims that the weight of a catfish he is selling is (answered by Theo)