In the manufacturing process of a pharmaceutical product, repeated measurements of the concentration of the active ingredient follow a Normal distribution with mean u equal to the true product concentration, and with standard deviation = 0.008 g/l. How many measurements would be needed to estimate the true concentration within ±0.001 g/l with 95% confidence? Give your answer rounded up to the nearest whole number. n=

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Transcription for Educational Website:**

In the manufacturing process of a pharmaceutical product, repeated measurements of the concentration of the active ingredient follow a Normal distribution with mean \( \mu \) equal to the true product concentration, and with standard deviation \( \sigma = 0.008 \, \text{g/l} \).

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**Question:**  
How many measurements would be needed to estimate the true concentration within \( \pm 0.001 \, \text{g/l} \) with 95% confidence? Give your answer rounded up to the nearest whole number.

**Calculation Box:**  
\[ n = \underline{\hspace{3cm}} \]
Transcribed Image Text:**Transcription for Educational Website:** In the manufacturing process of a pharmaceutical product, repeated measurements of the concentration of the active ingredient follow a Normal distribution with mean \( \mu \) equal to the true product concentration, and with standard deviation \( \sigma = 0.008 \, \text{g/l} \). --- **Question:** How many measurements would be needed to estimate the true concentration within \( \pm 0.001 \, \text{g/l} \) with 95% confidence? Give your answer rounded up to the nearest whole number. **Calculation Box:** \[ n = \underline{\hspace{3cm}} \]
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