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A researcher would like to determine whether humidity can have an effect on eating behavior. It’s...

A researcher would like to determine whether humidity can have an effect on eating behavior. It’s known that under regular circumstances laboratory rats eat an average of μ=10 grams of food each day, with standard deviation σ=2. The researcher selects a random sample of n=16 rats and places them in a controlled atmosphere room where the relative humidity is maintained at 90%. For these rats in humid atmosphere, the average daily food consumption is 13 grams. The researcher tests at 5% significance level to examine whether humidity affects eating behavior, please estimate the power of the test. (For hypothesis testing questions, include standard four steps (hypothesis, criteria, calculation, conclusion)

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