The upper bound of the 95% confidence interval, considering a sample size of 10, a sample mean of 4.1, and a standard error of 1.7088, is approximately 7.45.
## Calculating the Upper Bound of the 95% Confidence Interval
Based on the provided information:
* Sample size (n) = 10
* Sample mean (y) = 4.1
* Standard error (SE) = 1.7088 (assuming this represents the margin of error in the "±" notation)
To calculate the upper bound of the 95% confidence interval, we can follow these steps:
1. Determine the critical value: For a 95% confidence interval and a sample size of 10, the critical value from the z-score table is approximately 1.96.
2. Calculate the margin of error: Multiply the critical value by the standard error: Margin of error = 1.96 * 1.7088 ≈ 3.351.
3. Add the margin of error to the sample mean: Upper bound = y + margin of error = 4.1 + 3.351 ≈ 7.45.
Therefore, the upper bound of the 95% confidence interval for the population mean is 7.45. This means that we are 95% confident that the true population mean for the variable being measured (represented by y) falls below 7.45.