(Solution) - For random samples of size n 25 selected from -(2025 Original AI-Free Solution)

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For random samples of size n = 25 selected from a normal distribution with a mean of µ = 50 and a standard deviation of ? = 20, find each of the following:
a. The range of sample means that defines the middle 95% of the distribution of sample means.
b. The range of sample means that defines the middle 99% of the distribution of sample means.