Almost all smart devices (phones, tablets, and computers) are made with touch screens. A concern of many consumers is the shelf life of the "touch" component of the screens. A consumer advocacy group wanted to inform its members of a range that they can expect their touch screens to last. The group took a sample of 26 screens and measured the life of the "touch" function of the screens. That is, they used digital devices to simulate billions of touches to determine the life of the screens. Of the 26 screens sampled, the average "touch" life was 95 months with a standard deviation of nine months. Construct a 95% confidence interval for the standard deviation of the life of the touch screens. Assume that the life of the touch screens has an approximately normal distribution. Round any intermediate calculations to no less than six decimal places and round the endpoints of the interval to four decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Almost all smart devices (phones, tablets, and computers) are made with touch screens. A concern of many consumers
is the shelf life of the "touch" component of the screens. A consumer advocacy group wanted to inform its members of a
range that they can expect their touch screens to last. The group took a sample of 26 screens and measured the life of
the "touch" function of the screens. That is, they used digital devices to simulate billions of touches to determine the life
of the screens. Of the 26 screens sampled, the average "touch" life was 95 months with a standard deviation of nine
months. Construct a 95% confidence interval for the standard deviation of the life of the touch screens. Assume that the
life of the touch screens has an approximately normal distribution. Round any intermediate calculations to no less than
six decimal places and round the endpoints of the interval to four decimal places.
Transcribed Image Text:Almost all smart devices (phones, tablets, and computers) are made with touch screens. A concern of many consumers is the shelf life of the "touch" component of the screens. A consumer advocacy group wanted to inform its members of a range that they can expect their touch screens to last. The group took a sample of 26 screens and measured the life of the "touch" function of the screens. That is, they used digital devices to simulate billions of touches to determine the life of the screens. Of the 26 screens sampled, the average "touch" life was 95 months with a standard deviation of nine months. Construct a 95% confidence interval for the standard deviation of the life of the touch screens. Assume that the life of the touch screens has an approximately normal distribution. Round any intermediate calculations to no less than six decimal places and round the endpoints of the interval to four decimal places.
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