In Example D of Section 7.3.3, a 95% confidence interval

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QUESTION:

In Example D of Section 7.3.3, a 95% confidence interval for \(\mu\) was found to be (1.44, 1.76). Because \(\mu\) is some fixed number, it either lies in this interval or it doesn't, so it doesn't make any sense to claim that \(P(1.44 \leq \mu \leq 1.76)=.95\). What do we mean, then, by saying this is a “95% confidence interval?”

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QUESTION:

In Example D of Section 7.3.3, a 95% confidence interval for \(\mu\) was found to be (1.44, 1.76). Because \(\mu\) is some fixed number, it either lies in this interval or it doesn't, so it doesn't make any sense to claim that \(P(1.44 \leq \mu \leq 1.76)=.95\). What do we mean, then, by saying this is a “95% confidence interval?”

ANSWER:

Step 1 of 2

Given:

The 95% confidence interval for the population average number of motor vehicles is given to be equal to (1.44,1.76).

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