Consider the following information for questions 29-31. Each bottle of fruit jui

Question

Consider the following information for questions 29-31. 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. State hypotheses: Calculate test statistic and/or p-value. (Round to 2 decimal places.) Conclude your test. Justify your answer.

Explanation / Answer

Ho : miu = 12

Ha : miu is different from 12

t = (11.92 - 12 ) / ( 0.26 / srqt 30 )

t = -1.685

p value : 0.06

for alpha = 0.01 we fail to reject Ho

we conclude that machinery dont need recalibrated

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