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HypothesisTestsExamplesSTA2014

# HypothesisTestsExamplesSTA2014 - Hypothesis Tests Some...

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Hypothesis Tests – Some Examples Example 1 : Directional hypothesis test for a population mean. The U. S. Food and Drug Administration recommends that individuals consume 1000 mg of calcium daily. The International Dairy Foods Association (IDFA) sponsors and advertising campaign aimed at male teenagers to try to increase calcium consumption. After the campaign, the IDFA obtained a random sample of 50 male teenagers and found that the mean amount of calcium consumed was = x 1081 mg, with a standard deviation of s = 426 mg. Conduct a test to determine whether the campaign was effective. Use the α = 0.05 level of significance. We want to prove that the mean, μ , calcium consumption for male teenagers is greater than the FDA recommendation of 1000 mg per day. Hence, Step 1 : H 0 : μ 1000 mg. versus H a : μ > 1000 mg. Note that the alternative hypothesis states what we are trying to prove; the null hypothesis states the opposite. Step 2 : n = 50, α = 0.05 Note that in the real world, we would decide on a value for α based on our examination of

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HypothesisTestsExamplesSTA2014 - Hypothesis Tests Some...

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