Scenario for questions 1-4: A quality control engineer plans…
Scenario for questions 1-4: A quality control engineer plans a study to assess the impact of storage on the sweetness of a new cola. Ten trained tasters are available to rate the cola’s sweetness on a 10-point scale before and after storage, so that each taster’s judgement of the change of sweetness can be assessed. Industry records indicate that sweetness change scores vary from taster to taster according to Normal distribution with mean μ and standard deviation about σ=1. Suppose the sample mean of the sweetness change from the ten tasters is \( \bar{x}=-0.5. \)(Note that negative means sweetness loss, and positive means sweetness gain.) To see if the taste test gives reason to think that the cola does change sweetness, the engineer will test
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