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 theywere 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 thelead car) was recorded. The sample mean following distance was 3.40 meters and the sample standard deviation was 1.11 meters.(a) Construct a 95% confidence interval (in meters) for , the population mean following distance while talking on a mobile phone for the population of taxi drivers. (Use atable or technology. Round your answers to three decimal places.)3:077X-3.719x)mInterpret the interval.O 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 thisinterval.We are 95% confident that the following distance while talking on a mobile phone for the population of taxi drivers falls within this interval.O 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 directly in the middle of this intervalThere is a 95% chance that the following distance while talking on a mobile phone for the population of taxi drivers falls within this interval.

The formula of the confidence interval is,where, denotes the sample mean denotes the critical values…

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 3.40 meters and the sample standard deviation was 1.11 meters. (a) Construct a 95% confidence interval (in meters) for u, the population mean following distance while talking on a mobile phone for the population of taxi drivers. (Use a table or technology. Round your answers to three decimal places.) 3077 X-3.719 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 O We are 95% confident that the following distance while talking on a mobile phone for the population of taxi drivers falls within this interval O 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 directly in the middle of this interval There is a 95% chance that the following distance while taking on a mobile phone for the population of taxi drivers falls within this interval

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA