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**Confidence Intervals 10.2 page 625**

a) There is a 95% probability (chance) that the interval from to contains µ Incorrect. The probability is 1 or 0. We don’t know which!

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**10. 2 page 625 b) There is a 95% chance that the interval (107. 8 ,116**

10.2 page 625 b) There is a 95% chance that the interval (107.8 ,116.2) contains x bar. Incorrect. The general form of these confidence intervals is xbar + or – m (margin of error), so xbar is always in the center of the interval!

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10.2 page 625 c) This interval was constructed using a method that results in intervals which capture the true mean in 95% of all possible samples. Incorrect. The different samples will yield different sample means, and the distribution of those sample means is used to provide an interval that captures the population mean.

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**10.2 page 625 d) 95% of all possible samples will contain the interval (107.8, 116.2)**

Incorrect. There is nothing magical about the interval from this one sample! Our method of computing confidence intervals is based on capturing the mean of the population, not a particular interval from one sample.

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**e)The probability of the interval (107. 8, 116**

e)The probability of the interval (107.8, 116.2) captures µ is either 0 or 1, but we don’t know which! YEAH! CORRECT INTERPRETATION!

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© 2001 Prentice-Hall, Inc.Chap 8-1 BA 201 Lecture 12 Confidence Interval Estimation.

© 2001 Prentice-Hall, Inc.Chap 8-1 BA 201 Lecture 12 Confidence Interval Estimation.

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