Question
In: Statistics and Probability
Alex is studying whether people who are new to drinking wine will rate the quality of...
Alex is studying whether people who are new to drinking wine will rate the quality of the wine differently compared to those who are considered wine experts. He has data for 9 randomly selected wine newbies and 7 randomly selected wine experts. He gave each person the same wine to taste and asked them to rate the quality of the wine on a scale from 1 to 10 (with 10 being “high quality” wine). His data can be accessed at the link below.
Alex_wine_data.docx
a) Do Alex's data meet the assumptions for a two-sample t-test to compare average wine rating between newbies and experts? Why or why not?
Solutions
Expert Solution
Alex's data do not meet the assumptions for a two-sample t-test to compare average wine rating between newbies and experts as follows:
Assumption 1: The data must be continuous and not discrete. This assumptions is not satisfied because the rating of the quality of the wine on a scale from 1 to 10 (with 10 being “high quality” wine). is discrete.
Assumption 2: The data follow normal distribution. This needs verification since it is not specifically given in the explanation.
Assumption 3: The variances of the 2 populations must be equal. This needs verification since it is not specifically given in the explanation.
Assumption 4: The 2 samples must be indepedent. This assumption is satisfied.
Assumption 5: Both samples are Simple Random Samples. This assumption is satisfied.
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