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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 80 meters and the sample standard deviation was 1 17 meters USE SALT 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 technology to calculate your critical value Enter your answer using interval notation Round your numerical values to three decimal places m MY NOTES Interpret the interval We are 95 confident that the sample mean following distance while talking on a mobile phone for the taxi drivers in the study falls within this interval There is a 95 chance that the actual 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 actual 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 sample mean following distance while talking on a mobile phone for the taxi drivers in the study falls within this interval The following distance while talking on a mobile phone is in the interval for 95 of the population of taxi drivers b What assumption must be made in order to generalize this confidence interval to the population of all taxi drivers in Greece o We need to assume that taxi drivers used in the study are representative of all taxi drivers in Greece 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 all driving the same make and model car that taxi drivers used in the study are all using the same mobile phone

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