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Chapter 8: Q 7. (page 507)

10Bottling cola A particular type of diet cola advertises that each can contains 12 ounces of the beverage. Each hour, a supervisor selects cans at random, measures their contents, and computes a 95%confidence interval for the true mean volume. For one particular hour, the 95%confidence interval is 11.97ounces to 12.05ounces.

a. Does the confidence interval provide convincing evidence that the true mean volume is different than 12ounces? Explain your answer.

b. Does the confidence interval provide convincing evidence that the true mean volume is 12ounces? Explain your answer.

Short Answer

Expert verified

a. The confidence interval does not provide convincing evidence that the true mean volume is different than 12ounces.

b. The confidence interval does not provide convincing evidence that the true mean volume is12ounces.

Step by step solution

01

Given Information

It is given that for 95%, the true mean volume is(11.97 ounces,12.05ounces)

02

a. Determination if the confidence interval provide convincing evidence that the true mean volume is different than given.

It means that volume 12ounces true mean volume is likely.

It implies that there is no evidence that true mean is different than12ounces.

03

b. Determination if the confidence interval provide convincing evidence that the true mean volume is 12 ounces.

12is coming in interval (11.97 ounces,12.05ounces)/ It means that there is likely that 12ounces in the volume.

All volume in between is also equally likely to be right mean volume. Hence, there is no assurance that 12ounces is the true mean volume.

Hence, prediction is not true.

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Most popular questions from this chapter

A radio talk show host with a large audience is interested in the proportion p of adults in his listening area who think the drinking age should be lowered to eighteen. To find this out, he poses the following question to his listeners: “Do you think that the drinking age should be reduced to eighteen in light of the fact that 18-year-olds are eligible for military service?” He asks listeners to go to his website and vote “Yes” if they agree the drinking age should be lowered and “No” if not. Of the 100 people who voted, 70 answered “Yes.” Which of the following conditions are violated?

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