Fifteen vehicles were observed at random for their speeds (in mph) on a highway with speed limit posted as 70 mph, and it was found that their average speed was 73.3 mph. Suppose that from past experience we can assume that vehicle speeds are normally distributed with σ =3.2. Construct a 90% confidence interval for the true mean speed μ, of the vehicles on this highway. Interpret the result. Provide your rationale and any supporting data.