what is the value of the upper bound of the 95% confidence interval for the true

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An experimenter claims that the average yield of extracting protein per 50 kg of seaweed is more than 4 kg while using in animal feed. It is known that the yield of extracting protein is normally distributed.  To against his claim, a random sample of ten determination of protein extract, each based on 50 kg of seaweed, is analyzed.  The statistics results are found as: 

Sample Mean:                         3.92 kg                        and 

Sample Standard Deviation:   0.13 kg. 

Jul 4th, 2015

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Upper limit of 95% CI = 3.92+ t(.975,df=9) =3.92+1.833*.13/sqrt(10)=3.995=4

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Jul 4th, 2015

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