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 3.60 meters and the sample standard deviation was 1.13 meters. (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. (Use a table or technology. Round your answers to three decimal places.)

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**Study on Mobile Phone Use and Driving by Taxi Drivers**

The authors of a study evaluated the impact of mobile phone use by taxi drivers in Greece. The research involved fifty taxi drivers who participated in a driving simulator test, where they followed a lead car. During the simulation, drivers conducted conversations on a mobile phone, and the distance between the taxi and the lead car (following distance) was measured. The sample mean of the following distance was determined to be 3.60 meters, with a sample standard deviation of 1.13 meters.

**Task**

(a) Construct a 95% confidence interval (in meters) for the population mean (\(\mu\)) of following distance while talking on a mobile phone for all taxi drivers. Use a statistical table or technology to find this interval, and round your answers to three decimal places.

**[Input Fields]**

\[ \left( \_\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_\_ \right) \, \text{m} \]
Transcribed Image Text:**Study on Mobile Phone Use and Driving by Taxi Drivers** The authors of a study evaluated the impact of mobile phone use by taxi drivers in Greece. The research involved fifty taxi drivers who participated in a driving simulator test, where they followed a lead car. During the simulation, drivers conducted conversations on a mobile phone, and the distance between the taxi and the lead car (following distance) was measured. The sample mean of the following distance was determined to be 3.60 meters, with a sample standard deviation of 1.13 meters. **Task** (a) Construct a 95% confidence interval (in meters) for the population mean (\(\mu\)) of following distance while talking on a mobile phone for all taxi drivers. Use a statistical table or technology to find this interval, and round your answers to three decimal places. **[Input Fields]** \[ \left( \_\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_\_ \right) \, \text{m} \]
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