212." ii\"; 3 A highway safety researcher is studying the design of a freeway sign and is interested in the mean maximum distance at which drivers are able to read the sign. The maximum distances (in feet) at which a random sample of l6 drivers can read the sign are as follows: 400 490 600 540 540 600 240 440 360 600 430 400 490 540 440 490 The mean of the sample of 16 distances is 4'75 feet with the sample standard deviation of 98 feet. Assume the maximum distances are normally distributed. (a) At the 95% condence level what is the margin of error on your estimate of the true mean maximum distance at which drivers can read the sign. [5 marks] ANSWER (rounded to nearest whole number): (b) Construct a 95% confidence interval estimate of the true mean maximum distance at which drivers can read the sign. [4 marks] ANSWER (rounded to nearest whole number): to) There is a 5% chance the error (on your estimate of the true mean maximum distance) is bigger than what value? [3 mark]