The gas mileage for a certain model of car is known to have a standard deviation of 4 mi/gallon. A simple random sample of 64 cars of this model is chosen and found to have a mean gas mileage of 27.5 mi/gallon. Construct a 96.5% confidence interval for the mean gas mileage for this car model.

a)[19.068, 35.932]

b)[26.594, 28.406]

c)[26.446, 28.554]

d)[27.368, 27.632]

e)[20.252, 34.748]

f)None of the above