(Solution) - The viscosities of chemical infusions obtained from a specific production -(2025 Original AI-Free Solution)

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The viscosities of chemical infusions obtained from a specific production technique are normally distributed with a standard deviation ? = 3.9. If a chemist is able to measure the viscosities of 15 independent samples of the infusions, what is the probability that the resulting point estimate of the mean ? will be within 0.5 of the true value? How does this probability change if a sample of 40 independent infusions is obtained?