n account on server A is more expensive than an account on server B. However, server A is faster. To see if it’s optimal to go with the faster but more expensive server, a manager needs to know how much faster it is. A certain computer algorithm is executed 30 times on server A and 20 times on server B with the following results: T-Value = -3.12 P-Value = 0.002 DF = 48 Is server A really faster? How strong is the evidence? Formulate the suitable hypothesis and alternative and conclude at 5% level of significance.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
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An account on server A is more expensive than an account on server B. However, server A is faster. To see if it’s
optimal to go with the faster but more expensive server, a manager needs to know how much faster it is. A certain
computer algorithm is executed 30 times on server A and 20 times on server B with the following results:
T-Value = -3.12 P-Value = 0.002 DF = 48
Is server A really faster? How strong is the evidence? Formulate the suitable hypothesis and alternative and conclude at
5% level of significance.

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