Fifteen vehicles were observed at random for their speeds (in mph) on a highway with a posted speed limit of 70 mph, and it was found that their average speed was 73.3 mph. Based on previous highway studies we can assume that vehicle speeds are normally distributed with standard deviation σ = 3.2.
(a) Construct a 95% confidence interval for the true mean speed μ, of the vehicles on this highway. Round all values to 1 decimal place.
(b) What conclusions can we reach based on the 95% confidence interval?