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

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) (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
RELATED QUESTIONS
Males in the Netherlands are the tallest, on average, in the world with an average height (answered by VFBundy)

Five gallons of a dark green latex paint that is 20% yellow paint are combined with a... (answered by Alan3354)

In a lottery game, a single ball is drawn at random from a container that contains 25... (answered by Boreal)

Please help with this calculation, please show full workings. Many thanks. The... (answered by lynnlo)

The table below shows the number of boxes of 100 tubes containing defectives: Firm... (answered by math_tutor2020)

Maxwell orders at least 30 bottles of flea shampoo per month for his pet grooming... (answered by Mathtut)

A building contractor buys 90% of his cement from supplier A and 10% from supplier... (answered by Boreal,ikleyn)

Five percent of computer parts produced by a certain supplier are defective. What is... (answered by KawaiiKittenGal<3)

Ten percent of computer parts produced by a certain supplier are defective. What is the... (answered by stanbon)