Instead of the large sample confidence interval formula for (mu) on page 230, we could have given

Question:

Instead of the large sample confidence interval formula for $\mu$ on page 230, we could have given the alternative formula

\[\bar{x}-z_{\alpha / 3} \cdot \frac{\sigma}{\sqrt{n}}

Explain why the one on page 230 is narrower, and hence preferable, to the one given here.

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Probability And Statistics For Engineers

ISBN: 9780134435688

9th Global Edition

Authors: Richard Johnson, Irwin Miller, John Freund

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Question Posted: Apr 23, 2024 07:01 AM

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Instead of the large sample confidence interval formula for (mu) on page 230, we could have given

Question:

EXAMPLE 6 Calculating and interpreting a large sample confidence interval A random sample of size n = 100 is taken from a population with = 5.1. Given that the sample mean is x = 21.6, construct a 95% confidence interval for the pop- ulation mean .

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Probability And Statistics For Engineers

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