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2. The alcohol content of wine is an important characteristic in determining the quality of the wine. A wine producer uses selective breeding to create two cultivars (1 and 2) and wants to determine if there is a difference in the alcohol content of the wine produced. He obtains the alcohol content for 130 bottles of wine produced with the two cultivars and a summary of the results are below. Group Statistics Std. Error Cultivar N Mean Std. Deviation Mean Alcohol 59 13.7447 46213 06016 2 71 12.2787 53706 0638 Normal Q-Q Plot of Alcohol 15- 14.00 14- Expected Normal Value 13- 12- 12:00 11- Observed Value a) Construct a 95% confidence interval for the difference in mean alcohol content. b) Use the confidence interval in part a) to determine if there is a difference in the alcohol content of the wines produced by the cultivars. ECON2008: STATISTICAL METHODS 1 PROBLEM SET 8 AY: 2021-2022 c) Use the appropriate inferential method to determine if there is a difference in the alcohol content of the wines produced by the cultivars. d) Based on the necessary assumptions, was the inferential method you used appropriate. Give reasons for your