Data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 50 ​wines, a model was created using the percentages of alcohol to predict wine quality. The data are modeled by Yi=−0.384+0.5332Xi​, where Xi is the alcohol content​ (%) and Yi is the rated quality of the wine. For these​ data, SYX=0.9431​, X=10.19​, and hi=0.029612 when X=11.   b. Construct a 90​% prediction interval of the

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Data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 50 ​wines, a model was created using the percentages of alcohol to predict wine quality. The data are modeled by Yi=−0.384+0.5332Xi​, where Xi is the alcohol content​ (%) and Yi is the rated quality of the wine. For these​ data, SYX=0.9431​, X=10.19​, and hi=0.029612 when X=11.

 

b. Construct a
90​%
prediction interval of the wine quality rating of an individual wine that has
11​%
alcohol.
 
enter your response here≤YX=11≤enter your response here
​(Type integers or decimals. Round to three decimal places as needed. Use ascending​ order.)
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