Driving styles differ, so there is variability in the fuel efficiency of the same model automobile driven by different people. For a certain car model, the mean fuel efficiency is 23.6 miles per gallon with a standard deviation of 2.5 miles per gallon. Take a simple random sample of 25 owners of this model and calculate the sample mean fuel efficiency bar{x}. Calculate the mean and standard deviation of the sampling distribution of bar{x}.
a) Mean: 23.6 mpg, Standard Deviation: 0.5 mpg
b) Mean: 23.6 mpg, Standard Deviation: 2.5 mpg
c) Mean: 23.6 mpg, Standard Deviation: 0.1 mpg
d) Mean: 23.6 mpg, Standard Deviation: 5.0 mpg