A Wine Company Has Retained You as a Consultant to Help

question 50

Short Answer

A wine company has retained you as a consultant to help evaluate the taste preference for their wine compared to the market leader. You plan to give 20 subjects a taste of both wines and ask them to rate the wines on a 10 point scale. The order of presentation is randomized so there is no order effect. Your plan is to analyze the results using the sign test. If the size of the difference is such that P _real = 0.80, what is the power of your experiment to detect a preference for one wine or the other? Use a = 0.05_{2 tail}.

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Definitions:

Confidence

The degree to which one can feel assured about an estimate, prediction, or result, often quantified in statistical analysis as a confidence interval.

Winnings

The amount of money or prizes won in a game, lottery, or other competition.

Education

Education is the systematic process of facilitating learning, or the acquisition of knowledge, skills, values, beliefs, and habits through various forms such as teaching, training, storytelling, discussion, and directed research.

Years

A term referring to the span of time equivalent to 365 days or 12 months, typically used in the context of age, experience, or historical periods.