Mathematics, 05.05.2021 08:00 vjackie101ov3kju

In order to cut costs a wine producer is considering using “Duo” or 1+1 corks in place of full natural wood corks, but is concerned that it could affect buyers' perception of the quality of the wine. The wine producer shipped eight pairs of bottles of its best young wines to eight wine experts. Each pair includes one bottle with a natural wood cork and one with a duo cork. The experts are asked to rate the wines on a one to ten scale, higher numbers corresponding to higher quality. The results are: Expert Duo Wood

1 8.5 8.5

2 8.0 8.5

3 6.5 8.0

4 7.5 8.5

5 8.0 7.5

6 8.0 8.0

7 9.0 9.0

8 7.0 7.5

You are asked to perform a hypothesis test on this data to determine if there is a difference between the experts perceptions of quality depending upon which cork was used in the bottle. This will help the winery determine which type of cork to use.

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In order to cut costs a wine producer is considering using “Duo” or 1+1 corks in place of full natur...