A tech company develops a navigation app for smartphones that can compute the usual distance it takes to get from one location to another. The company collects location data from 100 smartphones to determine how long it takes to drive from Cleveland, Ohio, to Detroit, Michigan. The company finds that it takes an average of 2.78 hours to drive this distance with a standard deviation of 0.06. The driving times appear to be normally distributed. This company wants to provide an estimate of a range of driving times that include the driving times for 95% of users. What would this range be?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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A tech company develops a navigation app for smartphones that can compute the usual distance it takes to get from one location to another. The company collects location data from 100 smartphones to determine how long it takes to drive from Cleveland, Ohio, to Detroit, Michigan.

The company finds that it takes an average of 2.78 hours to drive this distance with a standard deviation of 0.06. The driving times appear to be normally distributed.

This company wants to provide an estimate of a range of driving times that include the driving times for 95% of users.

What would this range be?

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