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An article reports a study in which eight types of white wine had their tartaric

ID: 3367048 • Letter: A

Question

An article reports a study in which eight types of white wine had their tartaric acid concentration (in g/L) measured both before and after a cold stabilization process. The results are presented in the following table: Difference 0.24 0.38 Arter Before 2.83 Wine type 26 1.58 1.56 0.78 0.66 1.84 0.8 0.89 03 0.01 0.02 0.23 19 Find a 95% confidence interval for the mean difference between the tartaric acid concentrations before and after the cold stabilization process, Round the answers to three decimal places The 95% confidence interval is ( ).

Explanation / Answer

Ans:

From above data:

mean difference=0.19

standard deviation for difference=sd=0.1180

n=8

df=8-1=7

critical t value=tinv(0.05,7)=2.365

95% confidence interval for mean difffernce

=0.19+/-2.365*(0.1180/sqrt(8))

=0.19+/-0.099

=(0.091, 0.289)

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