BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries, hoping to obtain its share of a market boosted by the popularity of portable CD and MP3 players. To investigate its new line of Ultra batteries, BIG randomly selects 1000 Ultra batteries and finds that they have a mean lifetime of 889 hours, with a standard deviation of 97 hours. Suppose that this mean and standard deviation apply to the population of all Ultra batteries. Complete the following statements about the distribution of lifetimes of all Ultra batteries.   According to Chebyshev's theorem at least ? of the lifetimes lie between 695 and 1083 According to Chebyshev's theorem at least 84% of the lifetime lies between ? hours and ? hours (Round your answer to nearest whole number)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries, hoping to obtain its share of a market boosted by the popularity of portable CD and MP3 players. To investigate its new line of Ultra batteries, BIG randomly selects 1000 Ultra batteries and finds that they have a mean lifetime of 889 hours, with a standard deviation of 97 hours. Suppose that this mean and standard deviation apply to the population of all Ultra batteries.

Complete the following statements about the distribution of lifetimes of all Ultra batteries.

 

  1. According to Chebyshev's theorem at least ? of the lifetimes lie between 695 and 1083
  2. According to Chebyshev's theorem at least 84% of the lifetime lies between ? hours and ? hours (Round your answer to nearest whole number)
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Step 1

Given:

Sample Size n=1000Mean x¯=889Standard Deviation s=97

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