An alloy manufacturer is investigating if they can improve the strength of one of their alloysby producing it at a lower temperature. To investigate that, they produce the alloy at twodifferent temperatures (high and low) and then measure the breaking strength of randomsamples of specimens from each. The following table represents the strength of the randomsamples at the higher and lower temperature, in units of 0.001-inch deflection.  Temp. Strength (0.001 inch)High 87 64 66 85 76 49 97 73 75 77 69 68 89 27 58 84Low 88 82 81 85 79 80 88 78 77 85 79 76 Do the results support the hypothesis that lowering the production temperature can improve thestrength of the alloy, with 95% confidence? (Hint: Don’t forget investigating variances. Use 98% confidence for that.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
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An alloy manufacturer is investigating if they can improve the strength of one of their alloys
by producing it at a lower temperature. To investigate that, they produce the alloy at two
different temperatures (high and low) and then measure the breaking strength of random
samples of specimens from each. The following table represents the strength of the random
samples at the higher and lower temperature, in units of 0.001-inch deflection. 

Temp. Strength (0.001 inch)
High 87 64 66 85 76 49 97 73 75 77 69 68 89 27 58 84
Low 88 82 81 85 79 80 88 78 77 85 79 76

Do the results support the hypothesis that lowering the production temperature can improve the
strength of the alloy, with 95% confidence? 
(Hint: Don’t forget investigating variances. Use 98% confidence for that.)

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