Question

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 car. 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 3.70 meters and the sample standard deviation was 1.15 meters. (Use a table or technology.)

(a) Construct a 95% confidence interval (in meters) for μ, the population mean following distance while talking on a mobile phone for the population of taxi drivers. (Round your answers to three decimal places.)

Interpret the interval.

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.

We are 95% confident that the following distance while talking on a mobile phone for the population of taxi drivers falls within this interval.    T

here 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.

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.

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.

(b) What assumption must be made in order to generalize this confidence interval to the population of all taxi drivers in Greece?

We need to assume that taxi drivers used in the study are all drive the same make and model car.

We need to assume that taxi drivers used in the study are representative of all drivers in Greece.    

We need to assume that taxi drivers used in the study are all using the same mobile phone.

We need to assume that taxi drivers used in the study are representative of all drivers who have used the simulator.

We need to assume that taxi drivers used in the study are representative of all taxi drivers in Greece.

Answer 1

a)

Interpretation :

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.

b) Assumption :

We need to assume that taxi drivers used in the study are representative of all drivers who have used the simulator.