You randomly draw a sample of n = 25 where $\sigma$² = 100. If the sample mean is 10, which of the following are the bounds of a 95% confidence interval? A) 6.08, 13.92 B) -29.2, 49.2 C) -49.2, 29.2 D) -38.2, 40.2

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Quizplus · Accepted Answer

The 95% confidence interval is calculated using the formula: sample mean ± (Z * (σ/√n)). With a sample mean of 10, σ = 10, n = 25, and Z ≈ 1.96 for 95% confidence, the interval is 10 ± (1.96 * (10/√25)) = 10 ± 3.92, which gives bounds of 6.08 and 13.92.

You Randomly Draw a Sample of N = 25 Where σ\sigmaσ

You Randomly Draw a Sample of N = 25 Where $\sigma$