SOLUTION: a buyer of dutch paint complains that he is getting less than 4 galloons per container from his supplier. a sample of 100 containers reveals a mean of 3.8 grams with a standard dev

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Question 1151691: a buyer of dutch paint complains that he is getting less than 4 galloons per container from his supplier. a sample of 100 containers reveals a mean of 3.8 grams with a standard deviation of 0.46 grams. Is the buyer's complaint valid ? use 0.05 level of significance.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Assume randomness and sample's being normally distributed
Ho: Mean is >=4.0
Ha: Mean is < 4.0
test stat is a t df=99 0.95
critical value is t <-1.66
t=(3.8-4)/0.46/sqrt(100)
t=-0.2*10/0.46=-4.34
This is highly significant, and the buyer's complaint is supported at the 5% level