Step 1 :Given that the sample mean (\(\bar{x}\)) is 29.8 million shares, the z-score (z) is 1.96, the sample standard deviation (s) is 15.1 million shares, and the sample size (n) is 30.
Step 2 :We can use the formula for a confidence interval, which is \(\bar{x} \pm z \frac{s}{\sqrt{n}}\).
Step 3 :Substitute the given values into the formula to calculate the margin of error: \(1.96 \times \frac{15.1}{\sqrt{30}}\), which is approximately 5.403.
Step 4 :Subtract the margin of error from the sample mean to get the lower bound of the confidence interval: \(29.8 - 5.403\), which is approximately 24.397.
Step 5 :Add the margin of error to the sample mean to get the upper bound of the confidence interval: \(29.8 + 5.403\), which is approximately 35.203.
Step 6 :Final Answer: With 95% confidence, the mean stock volume in 2018 is between \(\boxed{24.397}\) million shares and \(\boxed{35.203}\) million shares.