Inference from a Confidence Interval Point of View

Inference from a Confidence Interval Point of View

<p> Inference – from a Confidence Interval point of view</p><p>At Citizen’s Bank Park, Icey Beverage Corporation sells soft drinks in a 16-ounce cup. They have been accused of watering down the drinks – putting too much ice into the cup and not enough soda. Following is a random sample of 24 soft drinks and the amount of ice in ounces that was put in a 16-ounce cup. </p><p>8.7 8.9 9.1 10.3 8.7 8.6 9.5 8.7 9.0 9.3 8.8 9.9 10.1 9.8 10.2 9.3 9.8 9.4 10.6 10.8 9.7 8.8 8.4 9.3</p><p>Find the 95% confidence interval for the data and write a complete sentence to interpret its meaning. Use a population standard deviation σ=1.5 ounces.</p><p>Mr. Dawson complains to the manager of Icey Beverage that he had too much ice in his 16- ounce drink. The manager explains to Mr. Dawson that he was just unlucky, and that Icey Beverage usually only puts 8.5 ounces in a drink. Comment on whether the manager was telling the truth. Inference – from a Hypothesis Test point of view</p><p>At Citizen’s Bank Park, Icey Beverage Corporation sells soft drinks in a 16-ounce cup. Mr. Dawson complains to the manager of Icey that he had too much ice in his 16-ounce drink. The manager explains to Mr. Dawson that he was just unlucky, and that Icey Beverage usually only puts 8.5 ounces in a drink. Mr. Dawson conducts a study in which he gets a random sample of 24 sodas and determines the ounces of ice in each cup. Following are the results. </p><p>8.7 8.9 9.1 10.3 8.7 8.6 9.5 8.7 9.0 9.3 8.8 9.9 10.1 9.8 10.2 9.3 9.8 9.4 10.6 10.8 9.7 8.8 8.4 9.3</p><p>Is there evidence at the 5% level that Icey Beverage is putting more than 8.5 ounces of ice in their 16-ounce cups? Use a population standard deviation σ=1.5 ounces.</p>

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