SOLUTION: Each bottle of fruit juice from a small manufacturing plant is supposed to contain exactly 12 fluid ounces of juice. Susan is in charge of quality control and decided to test this

Question 1010696: Each bottle of fruit juice from a small manufacturing plant is supposed to contain exactly 12 fluid ounces of juice. Susan is in charge of quality control and decided to test this claim by gathering a SRS of 30 bottles. She will recalibrate the machinery if the average amount of juice per bottle differs from 12 fluid ounces at the 1% level of significance. Her sample of 30 bottles has an average of 11.92 fluid ounces and a sample standard deviation of 0.26 fluid ounces.
Conduct a hypothesis test to determine if the machinery needs recalibrated.
Calculate test statistic and/or p-value. (Round to 2 decimal places.)
Conclude your test. Justify your answer.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho mean is 12
Ha mean is not 12.
alpha=0.01
test- statistic is a t with df=29
critical value is |t|>2.76
calculation is (11.92-12)/0.26/sqrt (30)
= -0.08*5.477/0.26=1.69
Fail to reject Ho
Not convincing evidence to assume that the machinery needs to be recalibrated or that the mean is not 12.
p-value =0.10
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