The authors of a certain paper describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece Fifty taxi drivers drove in a driving simulator where they were following a lead cat The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.60 meters and the sample standard deviation was 1.11 meters. Required:
Construct a 95% confidence interval (in meters) for μ.

Interpret the interval

a. We are 95% confident that the following distance while talking on a mobile phone for the population of taxi drivers falls within this interval.
b. There is a 95% chance that the following distance while talking on a mobile phone for the population of taxi drivers falls within this interval.
c. There is a 95% chance that the following distance while talking on a mobile phone for the population of taxi drivers falls directly in the middle of this interval.
d. There is a 95% chance that the true mean following distance while talking on a mobile phone for the population of taxi drivers falls directly in the middle of this interval.
e. We are 95% confident that the true following distance while talking on a mobile phone for the population of taxi drivers falls within this interval.