SOLUTION: A company uses a modern machine to fill packets of biscuits. a sample of 40 packets had an average weight of 1.35 kg and a standard deviation of 0.1 kg. The machine is set to fill

Question 1076060: A company uses a modern machine to fill packets of biscuits. a sample of 40 packets had an average weight of 1.35 kg and a standard deviation of 0.1 kg. The machine is set to fill an average weight of 1.5 kg. Is there sufficient evidence to suggest that the machine is under filling

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho:weight is 1.50
Ha:weight is not 1.50. Will use 2-tailed test.
alpha=0.05; P{reject Ho|Ho true}
test statistic is t df=39 0.975
critical value is |t|>2.023
t=(1.35-1.50)/0.1/sqrt(40)
=-0.15*sqrt(40)/0.1
=-9.49
Strongly reject Ho with p-value <<0.0001, there is sufficient evidence that the machine is underfilling.
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