A woman sued a computer keyboard manufacturer, charging that her repetitive stress injuries were caused by the keyboard. The injury awarded about $3.5 million for pain and suffering, but the court then set aside that award as being unreasonable compensation. In making this determination, the court identified a "normative" group of 27 similar cases and specified a reasonable award as one within two standard deviations of the mean of the awards in the 27 cases. The 27 awards were (in $1000s) 37, 62, 73, 113, 138, 141, 148, 153, 238, 290, 340, 410, 600, 750, 750, 751, 1050, 1100, 1137, 1150, 1200, 1200, 1250, 1579, 1700, 1825, and 2000, from which  Σxi = 20,185, Σxi2 = 24,665,129.  What is the maximum possible amount that could be awarded under the two-standard-deviation rule? In other words, what is the value of x + 2s? (Round your answer to the nearest whole number.)   thousand dollars

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A woman sued a computer keyboard manufacturer, charging that her repetitive stress injuries were caused by the keyboard. The injury awarded about $3.5 million for pain and suffering, but the court then set aside that award as being unreasonable compensation. In making this determination, the court identified a "normative" group of 27 similar cases and specified a reasonable award as one within two standard deviations of the mean of the awards in the 27 cases. The 27 awards were (in $1000s) 37, 62, 73, 113, 138, 141, 148, 153, 238, 290, 340, 410, 600, 750, 750, 751, 1050, 1100, 1137, 1150, 1200, 1200, 1250, 1579, 1700, 1825, and 2000, from which 

Σxi = 20,185, Σxi2 = 24,665,129.

 What is the maximum possible amount that could be awarded under the two-standard-deviation rule? In other words, what is the value of x + 2s? (Round your answer to the nearest whole number.)
  thousand dollars

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