(Solution) - A large box contains 10 000 ball bearings A random sample -(2025 Original AI-Free Solution)

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A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and the standard deviation is 0.24 mm. True or false:
a. A 95% confidence interval for the mean diameter of the 120 bearings in the sample is
10 ± (1.96) (0.24) / ?120.
b. A 95% confidence interval for the mean diameter of the 10,000 bearings in the box is 10 ± (1.96) (0.24) / (120?
c. A 95% confidence interval for the mean diameter of the 10,000 bearings in the box is 10 ± (1.96) (0.24) /?10,000?