Question

Which of the following statement(s) are true? • The interval $\bar{X} \pm 1.96 \frac{\sigma}{\sqrt{n}}$ is random, while its width is not random. • The interval $\bar{X} \pm 1.96 \frac{\sigma}{\sqrt{n}}$ is not random, while its width is random. • The interval $\bar{X} \pm 1.96 \frac{\sigma}{\sqrt{n}}$ is random, while its width is not random. • The interval $\bar{X} \pm 1.96 \frac{\sigma}{\sqrt{n}}$ is not random, while its width is random. None of the above statements are true.

          Which of the following statement(s) are true?
• The interval $\bar{X} \pm 1.96 \frac{\sigma}{\sqrt{n}}$ is random, while its width is not random.
• The interval $\bar{X} \pm 1.96 \frac{\sigma}{\sqrt{n}}$ is not random, while its width is random.
• The interval $\bar{X} \pm 1.96 \frac{\sigma}{\sqrt{n}}$ is random, while its width is not random.
• The interval $\bar{X} \pm 1.96 \frac{\sigma}{\sqrt{n}}$ is not random, while its width is random.
None of the above statements are true.

Which of the following statement(s) are true?
• The interval X̅± 1.96 (σ)/(√(n)) is random, while its width is not random.
• The interval X̅± 1.96 (σ)/(√(n)) is not random, while its width is random.
• The interval X̅± 1.96 (σ)/(√(n)) is random, while its width is not random.
• The interval X̅± 1.96 (σ)/(√(n)) is not random, while its width is random.
None of the above statements are true.

Added by Diamond M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

08/17/2023

Step 1

96 σ / √n is called the confidence interval. The confidence interval is a range of values that is likely to contain the true population parameter. The width of the confidence interval is determined by the sample size and the standard deviation of the population. Show more…

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Which of the following statement(s) are true? • The interval X ± 1.96 σ / √n is random, while its width is not random. The interval X ± 1.96 σ/ √n is not random, while its width is random. The interval X ± 1.96 σ/ √n is random, while its width is not random. ○ The interval X ± 1.96 0 / √n is not random, while its width is random. None of the above statements are true.