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According to a certain website, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. Wine scores range from 0 to 100, with a score of 95–100 indicating a great wine, 90–94 indicating an outstanding wine, 85–89 indicating a very good wine, 80–84 indicating a good wine, 75–79 indicating a mediocre wine, and below 75 indicating that the wine is not recommended. Random ratings of a pinot noir recently produced by a newly established vineyard in 2018 follow: 89 91 88 82 74 91 62 77 82 79 85 96 (a) Develop a point estimate of mean wine score for this pinot noir

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JeanaShupp

Answer:  A point estimate of mean wine score for this pinot noir = 83

Step-by-step explanation:

  • We know that the sample mean is the best point estimate for population mean.

Given : Random ratings of a pinot noir recently produced by a newly established vineyard in 2018 follow :

(x)  89   91   88   82   74   91   62   77   82   79   85   96

Number of ratings : n=12

[tex]\sum x=89 +91+88+82+74+91+62+77+82+79+85+ 96\\\\\Rightarrow \sum x=996[/tex]

Mean score = [tex]\dfrac{\sum x}{n}=\dfrac{996}{12}=83[/tex]

Thus ,  a point estimate of mean wine score for this pinot noir = 83

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