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Thirty-Six Measurements Are Made on the Amount of Meat in a Pizza

Question 42

Essay

Thirty-six measurements are made on the amount of meat in a pizza product. The summary statistics are
n = 36 xˉ \bar{x} = 17.4 grams s = 1.8 grams
Let µ =population mean amount of meat.
(a) Conduct a test of hypotheses with the intent of showing that
µ /= 17. Take α = .05.
(b) Explain your choice of sampling distribution.
(c) Sketch the null distribution of your statistic and the rejection region.
(d) Based on the conclusion to your test in Part a, what error could you have made?

Correct Answer:

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R : | Z | ≥ 1.96 and z = 1.333...

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