Step 1 :This problem is about determining the sample size for estimating a population mean with a known standard deviation. The formula for the sample size n is given by: \(n = (Z*σ/E)^2\)
Step 2 :In this formula, Z is the z-score corresponding to the desired confidence level, σ is the standard deviation of the population, and E is the desired margin of error.
Step 3 :For this problem, the desired confidence level is 90%, which corresponds to a z-score of 1.645. The standard deviation σ is given as $3.9, and the desired margin of error E is $0.76.
Step 4 :We can substitute these values into the formula to find the required sample size: \(n = (1.645*3.9/0.76)^2\)
Step 5 :Calculating this gives a sample size of 72.
Step 6 :Final Answer: The labor rights group should consider surveying \(\boxed{72}\) drivers to be 90% sure of knowing the mean will be within $\pm$ $0.76.