MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Problem Statement: Confidence Interval Estimation**

Bob draws a simple random sample from an original population where the standard deviation is known to be \( \sigma = 12 \). The sample size is \( n = 75 \) and the sample mean turns out to be \( \bar{x} = 43 \). Find the 99% confidence interval for the population mean \( \mu \).

**Answer Choices:**

A. \( (33.431, 40.569) \)

B. \( (35.431, 42.569) \)

C. \( (37.431, 44.569) \)

D. \( (39.431, 46.569) \)

The task is to determine which of the provided options correctly represents the 99% confidence interval for the given sample data.
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Transcribed Image Text:**Problem Statement: Confidence Interval Estimation** Bob draws a simple random sample from an original population where the standard deviation is known to be \( \sigma = 12 \). The sample size is \( n = 75 \) and the sample mean turns out to be \( \bar{x} = 43 \). Find the 99% confidence interval for the population mean \( \mu \). **Answer Choices:** A. \( (33.431, 40.569) \) B. \( (35.431, 42.569) \) C. \( (37.431, 44.569) \) D. \( (39.431, 46.569) \) The task is to determine which of the provided options correctly represents the 99% confidence interval for the given sample data.
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