If you randomly select a sample of n = 16 where $\sigma$ = 4 and x̄ = 5, the boundaries of your confidence interval should be 3.04 and 6.96.

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Quizplus · Accepted Answer

The boundaries of a confidence interval are calculated using the formula x̄ ± z * (σ/√n), where x̄ is the sample mean, z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size. In this case, we have x̄ = 5, σ = 4, n = 16, and a 95% confidence level, which corresponds to a z-score of 1.96. Plugging these values into the formula, we get 5 ± 1.96 * (4/√16) = 5 ± 1.96 * 1 = 5 ± 1.96, which gives us the boundaries of 3.04 and 6.96.

If You Randomly Select a Sample of N = 16 σ\sigmaσ

If You Randomly Select a Sample of N = 16 $\sigma$