A soft drink manufacturer wishes to know how many soft drinks teenagers drink each week. They want to construct a $99 \%$ confidence interval with an error of no more than 0.06. A consultant has informed them that a previous study found the mean to be 3.7 soft drinks per week and found the standard deviation to be 1 . What is the minimum sample size required to create the specified confidence interval? Round your answer up to the next integer.

Step 1 ：Given in the problem, we have: \(Z = 2.576\) (for a 99% confidence level), \(\sigma = 1\) (standard deviation), and \(E = 0.06\) (margin of error).

Step 2 ：We need to use the formula for the sample size in a confidence interval, which is: \(n = (Z*\sigma/E)^2\).

Step 3 ：Substituting these values into the formula, we get: \(n = (2.576*1/0.06)^2\).

Step 4 ：Calculating the above expression, we get: \(n = 184.32\).

Step 5 ：Since we can't have a fraction of a person, we round this up to the next integer, which is 185.

Step 6 ：\(\boxed{n = 185}\) is the minimum sample size required to create the specified confidence interval.