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.   a. Construct a 90​% confidence interval estimate of the mean wine quality rating for all wines that have 11​% alcohol.   _____≤μY|X=11≤_______ ​(Type integers or decimals. Round to three decimal places as needed. Use ascending​ order.)

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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.

 

a. Construct a
90​%
confidence interval estimate of the mean wine quality rating for all wines that have
11​%
alcohol.
 
_____≤μY|X=11≤_______
​(Type integers or decimals. Round to three decimal places as needed. Use ascending​ order.)
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