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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

After deciding on a 95% confidence level, the researcher is deciding between a sample of size n=500 and a sample of size n=1000. Compared with using a sample size of n=500, a confidence interval based on a sample size of n=1000 will be

a. narrower and would involve a larger risk of being incorrect.

b. wider and would involve a smaller risk of being incorrect.

c. narrower and would involve a smaller risk of being incorrect.

d. wider and would involve a larger risk of being incorrect.

e. narrower and would have the same risk of being incorrect.

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