Sample size= 16 mean=3.48 and standard deviation=0.92. For a 99% confidence interval, what is the Margin Of Error
oh yeah you are right
To calculate the margin of error for a 99% confidence interval, you need to use the formula:
Margin of Error = Z * (standard deviation / √n)
Where:
- Z is the z-score corresponding to the desired level of confidence. For a 99% confidence interval, the z-score can be found using a z-table or a statistical calculator. In this case, the z-score for 99% confidence is approximately 2.576.
- standard deviation is the given standard deviation of the sample.
- n is the sample size.
Given the following information:
- Sample size (n) = 16
- Mean (μ) = 3.48
- Standard deviation (σ) = 0.92
First, calculate the margin of error using the formula:
Margin of Error = 2.576 * (0.92 / √16)
Simplifying further:
Margin of Error = 2.576 * (0.92 / 4)
Margin of Error ≈ 0.5937
Therefore, the margin of error for a 99% confidence interval is approximately 0.5937.