In a series of tests (see data table below), 15 rolls of wrap are made under carefully controlled conditions and the tear resistance of each rool is measured. The results are used as the basis of a quality assurance specification.  If X for a subsequently produced roll falls more than two standard deviations away from the test period average, the process is declared out of specification and production is suspended for routine maintenance.     Roll   1    2    3    4    5    6    7    8    9    10    11    12    13    14    15    X   134    131    129    133    135    131    134    130    131    136    129    130    133    130    133  a)What is the mean tear resistance? Enter your answer to the correct number of significant figures. b)What is the standard deviation in tear resistance? Enter your answer to the correct number of significant figures.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Your company manufactures plastic wrap for food storage.  The tear resistance of the wrap, denoted by X, must be controlled so that the wrap can be torn off the roll without too much effort but it does not tear too easily when in use.

In a series of tests (see data table below), 15 rolls of wrap are made under carefully controlled conditions and the tear resistance of each rool is measured. The results are used as the basis of a quality assurance specification.  If X for a subsequently produced roll falls more than two standard deviations away from the test period average, the process is declared out of specification and production is suspended for routine maintenance.

 

 

Roll   1    2    3    4    5    6    7    8    9    10    11    12    13    14    15 
  X   134    131    129    133    135    131    134    130    131    136    129    130    133    130    133 

a)What is the mean tear resistance? Enter your answer to the correct number of significant figures.

b)What is the standard deviation in tear resistance? Enter your answer to the correct number of significant figures.

 
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