Step 1 :The formula for constructing a 95% confidence interval for the mean is: \(\text{Mean} \pm (t\text{-value} \times \frac{\text{standard deviation}}{\sqrt{\text{sample size}}})\)
Step 2 :The t-value for a 95% confidence interval with 9 degrees of freedom (10 - 1) is approximately 2.262 (from the t-distribution table).
Step 3 :Substitute the given values into the formula: \(12 \pm (2.262 \times \frac{2.3}{\sqrt{10}})\)
Step 4 :Calculate the value inside the parentheses: \(2.262 \times \frac{2.3}{\sqrt{10}} = 1.62\) (rounded to two decimal places)
Step 5 :Add this value to the mean to get the upper bound: \(12 + 1.62 = 13.62\)
Step 6 :\(\boxed{13.62}\) is the upper bound of the 95% confidence interval.