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The amount of coffee poured into a random sample of five extra-large coffee cups from Tim...

The amount of coffee poured into a random sample of five extra-large coffee cups from Tim Hortons was measured, and the 95% confidence interval for the mean amount poured into an extra-large coffee cup in millilitres was (673.0, 721.0). Assume that the distribution of the amount of coffee poured into an extra-large coffee cup is Normal. Which of the following statements is the correct interpretation of the confidence level, and which is the correct interpretation of the confidence interval?

a. We are very confident that the mean amount of coffee poured into an extra-large Tim Hortons coffee cup is between 673 and 721 millilitres.

b. In about 95% of all samples of 5 extra-large Tim Hortons coffee cups, the resulting confidence intervals will contain the mean amount of coffee poured in all extra-large cups of Tim Hortons coffee.

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